Question

ASAPPPPP. ∠1 is supplementary to both ∠2 and ∠3. ∠2 = 135°. Find m∠3?

Answer 1

Explanation:

<1 is supplementary to <2 and <3 so <2 and <3 are equal.

m<3 = 135

Answer 2

m∠3 = 135°

Explanation:

Two angles are supplementary if their measures add up to 180 degrees.

Therefore, we know that:

m∠1 + m∠2 = 180°

Substitute the given value.

m∠1 + 135° = 180°

Subtract both sides by 135°.

m∠1 = 180° - 135°

m∠1 = 45°

Since ∠1 is supplementary to ∠3, we know that:

m∠1 + m∠3 = 180°

Substitute the given value.

45° + m∠3 = 180°

Subtract both sides by 45°.

m∠3 = 180° - 45°

m∠3 = 135°

Therefore, the measure of ∠3 is 135°.