In a diagram, ∠3 and ∠5 are vertical angles, and ∠4 is a supplementary angle with ∠5 . If m∠3=67° , what equation can you write to solve for m∠4 ?(1 point) m∠4+___°=___°

Answer 1

Since ∠3 and ∠5 are vertical angles, they must be congruent. Therefore, m∠3 = m∠5 = 67°.

Since ∠4 and ∠5 are supplementary angles, they add up to 180°. Therefore, we can write the equation:

m∠4 + m∠5 = 180°

Substituting m∠5 with 67°, we get:

m∠4 + 67° = 180°

Therefore, the equation to solve for m∠4 is:

m∠4 + 67° = 180°