Answer:
∠A = 94°
Step-by-step 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°
