Question

drag each letter based on the relationship between the pair of angles shown in the corresponding green box. a: the relationship between ∠1 and ∠2 (diagram of ∠1 and ∠2 forming a linear pair) b: m∠1 = 64.5°, m∠2 = 26.5° what is the relationship between ∠1 and ∠2? c: the relationship between ∠2 and ∠3 (diagram of intersecting lines with angles ∠1, ∠2, ∠3, ∠4, ∠5) d: the relationship between ∠2 and ∠3 (diagram of four angles ∠1, ∠2, ∠3, ∠4 on a straight line with a right angle) e: diagram with 132° and 38° angles f: the relationship between ∠1 and ∠3 (diagram of ∠1, ∠2, ∠3 with a right angle between ∠1 and ∠2, and ∠2 and ∠3) complementary (box d) supplementary (boxes f, c) neither (boxes b, e) drag these (box a)

Explanation:

Step1: Analyze Box A

$\angle1$ and $\angle2$ form a straight angle ($180^\circ$), so they are supplementary.

Step2: Analyze Box B

Calculate sum: $64.5^\circ + 26.5^\circ = 91^\circ$. This is neither $90^\circ$ nor $180^\circ$.

Step3: Analyze Box C

$\angle2$ and $\angle3$ are a linear pair (straight angle), sum to $180^\circ$, so supplementary.

Step4: Analyze Box D

$\angle2$ and $\angle3$ are part of a right angle, sum to $90^\circ$, so complementary.

Step5: Analyze Box E

Calculate sum: $132^\circ + 38^\circ = 170^\circ$. This is neither $90^\circ$ nor $180^\circ$.

Step6: Analyze Box F

$\angle1$ and $\angle3$ are part of a right angle, sum to $90^\circ$, so complementary.

Answer:

COMPLEMENTARY:

D, F

SUPPLEMENTARY:

A, C

NEITHER:

B, E