Question

diagrams with angles: 75° and 15°, 30° and 150°, 78° and 102°, 67° and 33°, 90° and 110°, 58° and 31° (each diagram has angle - marked arrow configurations)

Explanation:

To solve this, we analyze each pair of angles to see if they are complementary (sum to \(90^\circ\)), supplementary (sum to \(180^\circ\)), or neither.

Row 1: \(75^\circ\) and \(15^\circ\)

Step 1: Check sum

\(75^\circ + 15^\circ = 90^\circ\)
These are complementary (sum to \(90^\circ\)).

Row 2: \(30^\circ\) and \(150^\circ\)

Step 1: Check sum

\(30^\circ + 150^\circ = 180^\circ\)
These are supplementary (sum to \(180^\circ\)).

Row 3: \(78^\circ\) and \(102^\circ\)

Step 1: Check sum

\(78^\circ + 102^\circ = 180^\circ\)
These are supplementary (sum to \(180^\circ\)).

Row 4: \(67^\circ\) and \(33^\circ\)

Step 1: Check sum

\(67^\circ + 33^\circ = 100^\circ\)
Neither \(90^\circ\) (complementary) nor \(180^\circ\) (supplementary).

Row 5: \(90^\circ\) and \(110^\circ\)

Step 1: Check sum

\(90^\circ + 110^\circ = 200^\circ\)
Neither \(90^\circ\) nor \(180^\circ\).

Row 6: \(58^\circ\) and \(31^\circ\)

Step 1: Check sum

\(58^\circ + 31^\circ = 89^\circ\)
Neither \(90^\circ\) nor \(180^\circ\).

Final Answer (for each row, mark "Complementary", "Supplementary", or "Neither"):

• Row 1: Complementary
• Row 2: Supplementary
• Row 3: Supplementary
• Row 4: Neither
• Row 5: Neither
• Row 6: Neither

(Mark the corresponding checkboxes based on this analysis.)

Answer:

To solve this, we analyze each pair of angles to see if they are complementary (sum to \(90^\circ\)), supplementary (sum to \(180^\circ\)), or neither.

Row 1: \(75^\circ\) and \(15^\circ\)

Step 1: Check sum

\(75^\circ + 15^\circ = 90^\circ\)
These are complementary (sum to \(90^\circ\)).

Row 2: \(30^\circ\) and \(150^\circ\)

Step 1: Check sum

\(30^\circ + 150^\circ = 180^\circ\)
These are supplementary (sum to \(180^\circ\)).

Row 3: \(78^\circ\) and \(102^\circ\)

Step 1: Check sum

\(78^\circ + 102^\circ = 180^\circ\)
These are supplementary (sum to \(180^\circ\)).

Row 4: \(67^\circ\) and \(33^\circ\)

Step 1: Check sum

\(67^\circ + 33^\circ = 100^\circ\)
Neither \(90^\circ\) (complementary) nor \(180^\circ\) (supplementary).

Row 5: \(90^\circ\) and \(110^\circ\)

Step 1: Check sum

\(90^\circ + 110^\circ = 200^\circ\)
Neither \(90^\circ\) nor \(180^\circ\).

Row 6: \(58^\circ\) and \(31^\circ\)

Step 1: Check sum

\(58^\circ + 31^\circ = 89^\circ\)
Neither \(90^\circ\) nor \(180^\circ\).

Final Answer (for each row, mark "Complementary", "Supplementary", or "Neither"):

• Row 1: Complementary
• Row 2: Supplementary
• Row 3: Supplementary
• Row 4: Neither
• Row 5: Neither
• Row 6: Neither

(Mark the corresponding checkboxes based on this analysis.)