Question

Delta Math:Angle Terminology with Equations

Answer 1

∠A = 94°

Explanation:

Two angles are called supplementary when their measures add up to 180°.

Therefore, if ∠A and ∠B are supplementary:

⇒ ∠A + ∠B = 180

⇒ (2x + 10) + (2x + 2) = 180

⇒ 4x + 12 = 180

⇒ 4x = 168

⇒ x = 42

To find ∠A, substitute found value of x into the expression for ∠A:

⇒ ∠A = 2(42) + 10 = 94°