Question

The measure of A is 20° greater than the measure of B. The two angles are complementary. Find the measure of each angle.

The m A is ° and m B is °.

Answer 1

Answer: The m∠A is 55° and m∠B is 35°. Hope this helps

Explanation:

Step 1: m∠A + m∠B = 90°

Step 2: m∠A + (m∠A − 20°) = 90°

Step 3: m∠A + (m∠A − 20°) = 90°

+20° = +20° Add 20° to both sides.

m∠A + m∠A = 110°

2(m∠A) = 110° Divide both sides by 2.

m∠A = 55°

Step 4: m∠A + m∠B = 90°

55° + m∠B = 90° Substitute 55° for m∠A.

m∠B = 35°