Question

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)
m∠4+
°=
°

Answer 1

Since ∠3 and ∠5 are vertical angles, they are equal. Therefore, we can say:

m∠3 = m∠5.

Given that m∠3 = 67°, we have:

m∠5 = 67°.

Since ∠4 is a supplementary angle with ∠5, we know that the sum of ∠4 and ∠5 is 180°. Thus, we can write the equation:

m∠4 + m∠5 = 180°.

Substituting the value of m∠5 into the equation gives us:

m∠4 + 67° = 180°.

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

m∠4 + 67° = 180°.