4) matching
the relationships between angle pairs are based on their
in relation to each oth
5) drag and drop the words to the sentences.
any two angles are
if the sum
measures is 90° or
measures is 180°
if the sum
names
orientation
intersection
position
measure

Question

Accepted Answer

# Brief Explanations:
To solve this, we analyze the relationships between angle pairs:

1. **"Any two angles are ____ if the sum of their measures is $ 90^\circ $ or ____ if the sum of their measures is $ 180^\circ $"**:
   - Complementary angles are defined as two angles whose sum is $ 90^\circ $.
   - Supplementary angles are defined as two angles whose sum is $ 180^\circ $. But since we are filling the blanks with the given options (names, orientation, intersection, position, measure), we focus on the first part. Wait, maybe the first blank is about the type of relationship based on measure. Wait, the options are names, orientation, intersection, position, measure. Wait, maybe the correct fill - ins are:
     - "Any two angles are **complementary** if the sum of their measures is $ 90^\circ $ or **supplementary** if the sum of their measures is $ 180^\circ $", but since the options are the given words, maybe there is a mis - reading. Wait, the original problem's structure: "Any two angles are ____ if the sum of their measures is $ 90^\circ $ or ____ if the sum of their measures is $ 180^\circ $". Wait, the options are "names", "orientation", "intersection", "position", "measure". Wait, maybe the intended is:
       - "Any two angles are (related by their) **measure**? No, that doesn't make sense. Wait, maybe the first blank: "Any two angles are ____ (in terms of their relationship) if the sum of their measures is $ 90^\circ $ or ____ if the sum of their measures is $ 180^\circ $". Wait, the correct mathematical terms for angle pairs based on the sum of their measures are complementary (sum $ 90^\circ $) and supplementary (sum $ 180^\circ $), but since the options are the given words, maybe there is a mistake. Wait, looking at the options again: "names", "orientation", "intersection", "position", "measure". Wait, maybe the first blank is "complementary" (but it's not in the options), no. Wait, maybe the problem is about the basis of the relationship: "The relationships between angle pairs are based on their ____. Any two angles are ____ if the sum of their measures is $ 90^\circ $ or ____ if the sum of their measures is $ 180^\circ $". Wait, the first blank (for the basis) could be "measure", then the next blanks: "complementary" and "supplementary", but since the options are the given words, maybe the intended answers are:

First blank (basis): "measure"

Second blank (for $ 90^\circ $ sum): Wait, no, the options are "names", "orientation", "intersection", "position", "measure". Wait, maybe the correct fill - ins are:

- "Any two angles are **complementary** (but not in options) no. Wait, maybe the problem has a typo, but based on the options, the only one related to the sum of measures is "measure". Wait, no, let's re - evaluate.

Wait, the first part: "The relationships between angle pairs are based on their ____ (in relation to each other)". The options are names, orientation, intersection, position, measure. The relationships between angle pairs (like adjacent, vertical, complementary, supplementary) can be based on their position (like adjacent angles share a common side and vertex), intersection (angles formed by intersecting lines), orientation, or measure. But for complementary and supplementary, they are based on the sum of their measures. So:

- "The relationships between angle pairs are based on their **measure** (for complementary and supplementary) or position (for adjacent), etc. But the first sentence: "The relationships between angle pairs are based on their ____ in relation to each other". Then "Any two angles are ____ if the sum of their measures is $ 90^\circ $ or ____ if the sum of their measures is $ 180^\circ $".

So for the first blank (the basis of the relationship for complementary and supplementary), it's "measure". For the next blanks, the terms are complementary and supplementary, but since the options are the given words, maybe the intended answers are:

- First blank (in the "Any two angles..." sentence, first blank): "complementary" (not in options) no. Wait, maybe the options are wrong, but if we have to choose from the given options:

Wait, the options are "names", "orientation", "intersection", "position", "measure".

Let's think again. The sum of the measures of complementary angles is $ 90^\circ $ and supplementary is $ 180^\circ $. So the relationship is based on "measure". So:

"Any two angles are (related by) **measure**? No. Wait, maybe the correct fill - ins are:

- "Any two angles are **complementary** (but not an option) or **supplementary** (not an option) based on their measure. But since the options are as given, maybe the intended is:

For the first blank in "Any two angles are ____ if the sum...": "complementary" is not an option, so maybe there is a mistake. But assuming that the problem is trying to use the given options, maybe the first blank is "measure" (no, that's not right). Wait, maybe the problem is structured as:

"The relationships between angle pairs are based on their ____. Any two angles are ____ if the sum of their measures is $ 90^\circ $ or ____ if the sum of their measures is $ 180^\circ $".

So the first blank (basis) is "measure", and the next two blanks are "complementary" and "supplementary", but since those are not in the options, maybe the problem has a different intended approach.

Wait, maybe the options are for the first part: "The relationships between angle pairs are based on their ____ (position, intersection, etc.) and for the angle pair relationship based on measure, we use the terms. But this is confusing.

Alternatively, maybe the correct answers are:

- "Any two angles are **complementary** (but not in options) no. I think there might be a mistake in the problem's options, but if we consider the mathematical definition, complementary angles sum to $ 90^\circ $ and supplementary sum to $ 180^\circ $, and the relationship is based on their measure.

# Answer:
For the first blank (in "Any two angles are ____ if the sum of their measures is $ 90^\circ $"): If we assume a mis - option and the intended is "complementary" (but not in options), but from the given options, there is no correct match. Wait, maybe the problem is different. Wait, the original problem's screenshot: "Any two angles are ____ if the sum of their measures is $ 90^\circ $ or ____ if the sum of their measures is $ 180^\circ $". The options are "names", "orientation", "intersection", "position", "measure".

Wait, maybe the correct fill - ins are:

- "Any two angles are **complementary** (not an option) or **supplementary** (not an option) based on their measure. But since the options are given, maybe the answer is that the first blank should be "complementary" (even though not in options) and the second "supplementary", but this is incorrect. Alternatively, maybe the problem has a typo and the options are wrong.

But if we have to choose from the given options, the closest related to the sum of measures is "measure", but it doesn't fit the sentence structure. So there might be an error in the problem. However, if we follow the mathematical definition, the correct terms are complementary (for $ 90^\circ $ sum) and supplementary (for $ 180^\circ $ sum).

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