Question

If m∠3 = 110°, find m∠2: A. 70° B. 90° C. 110° D. 120°

Answer 1

A. 70°

Supplementary angles always = 180°

Where 180 - 110 = 70

110+ 70 = 180

Answer 2

Answer:

Option A, 70°

Step-by-step explanation:

If seen closely, ∠2 and ∠3 fall on the same segment, and that segment is a straight angle, this means ∠2 and ∠3 are supplementary angles (both add up to 180° or a straight angle). So we can say:

∠2 + ∠3 = 180

Then replace m∠3 with 110, as given:

∠2 + 110 = 180

Subtract 110 from both sides of "="

⇒ ∠2 = 70°

Hope this helps!