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, we know that m∠3 = m∠5. Given that m∠3 = 67°, we can conclude that m∠5 = 67° as well.

Next, since ∠4 is a supplementary angle with ∠5, we know that the sum of the measures of these two angles is 180°. Therefore, we can write the equation:

m∠4 + m∠5 = 180°

Substituting the value of m∠5 into the equation:

m∠4 + 67° = 180°

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

m∠4 + 67° = 180°