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)

Question

m∠4+___°=___

Answer 1

Since ∠3 and ∠5 are vertical angles, we have:

\[ m∠3 = m∠5 \]

Given that \( m∠3 = 67° \), it follows that:

\[ m∠5 = 67° \]

Now, since ∠4 is supplementary to ∠5, we know that:

\[ m∠4 + m∠5 = 180° \]

Substituting for \( m∠5 \):

\[ m∠4 + 67° = 180° \]

So, the equation you can write to solve for \( m∠4 \) is:

\[ m∠4 + 67° = 180° \]