3 years ago

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

Mathematics

2 answers:

stiv31 [10]3 years ago

7 0

A. 70°

Supplementary angles always = 180°

Where 180 - 110 = 70

110+ 70 = 180

mamaluj [8]3 years ago

6 0

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 "="

⇒ <u>∠2 = 70°</u>

Hope this helps!

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