In a diagram, ∠3

Question

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 are equal. Therefore, the measure of ∠5 is:

\[ m∠5 = m∠3 = 67° \]

Given that ∠4 is supplementary to ∠5, we know that the sum of their measures equals 180°:

\[ m∠4 + m∠5 = 180° \]

Substituting the value of m∠5:

\[ m∠4 + 67° = 180° \]

So the equation you can write to solve for m∠4 is:

\[ m∠4 + 67° = 180° \]