If ∠2 and ∠3 are supplementary and ∠2 is 135°, what is ∠3?

Question

∠3 = 15°

∠3 = 45°

∠3 = 35°

∠3 = 25°

Answer 1

Two angles are supplementary if their measures add up to 180°. Given that ∠2 is 135°, we can find ∠3 by using the following equation:

∠2 + ∠3 = 180°

Substituting the value of ∠2:

135° + ∠3 = 180°

To find ∠3, subtract 135° from both sides:

∠3 = 180° - 135°
∠3 = 45°

So, ∠3 is 45°. The correct answer is:

∠3 = 45°