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 answer

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

Since ∠4 and ∠5 are supplementary angles, their sum is 180°. So, m∠4 + m∠5 = 180°.

Substituting the given values, we have:

m∠4 + 67° = 180°

This is the equation that can be written to solve for m∠4.