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 ?

Answer 1

The equation that can be written to solve for m∠4 is:

m∠3 + m∠4 = 180°

Since ∠4 is a supplementary angle with ∠5 and ∠3 and ∠5 are vertical angles, the sum of ∠3 and ∠4 is equal to 180°.

Answer 2

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 ?

Answer 3

The equation that can be written to solve for m∠4 is:

m∠3 + m∠5 = 180°

Since ∠3 and ∠5 are vertical angles, they are equal in measure. Therefore, m∠5 = 67°. Additionally, ∠4 is a supplementary angle with ∠5, so the sum of their measures is 180°. By substituting the given value, we have:

67° + m∠4 = 180°

This equation can be used to solve for m∠4.