Answer:
m ∠B = 29°
Explanation:
When two angles are complementary, they from a right angle. Therefore, the sum of the measures of the two angles equals 90°.
Step 1: We can first find x by setting the sum of the two expressions given for the measures of angles A and B equal to 90:
m ∠A + m ∠B = 90
(8X + 5) + (3x + 8) = 90
(8x + 3x) + (5 + 8) = 90
11x + 13 = 90
11x = 77
x = 7
Step 2: Now we can plug in 7 for x in 3x + 8 (i.e., the expressions that represents the measure of angle B) to find the measure of angle B:
m ∠B = 3(7) + 8
m ∠B = 21 + 8
m ∠B = 29°
Thus, the measure of angle B is 29°.