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)

1 answer

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

Since ∠4 is a supplementary angle with ∠5, the sum of their measures is 180°.

Therefore,

m∠4 + m∠5 = 180°.

Substituting m∠5 = 67°, we get

m∠4 + 67° = 180°.

This equation can be used to solve for m∠4.