Question

Question

In a diagram of a bridge, m∠1=87°
. If ∠1
and ∠3
are vertical angles, and ∠2
and ∠3
are supplementary, what equation can you write to solve for the value of m∠2
? Let m∠2=x
.(1 point)
Responses

x=87°
x equals 87 degrees

x+87°=180°
x plus 87 degrees equals 180 degrees

x+87°=90°
x plus 87 degrees equals 90 degrees

x=90°−87°

Answer 1

Given the information:

1. ∠1 and ∠3 are vertical angles, so \( m∠3 = m∠1 = 87° \).
2. ∠2 and ∠3 are supplementary, which means that their measures add up to 180°.

Therefore, you can write the equation relating \( x \) (the measure of ∠2) and \( m∠3 \):

\( x + 87° = 180° \)

So the correct response is:

x + 87° = 180°