The measure of angle a is 4 degrees greater than the measure of angle b. the two angles are complementary. find the measure for each angle

the measure of angle d is 5 times the measure of angle e. the two angles are supplementary. find the measure of each angle.

Given: 
Angle A is 4 degrees greater than the measure of Angle B. Both angles are complementary

Complementary angles have a sum of 90°

Angle A = x + 4° ; Angle B = x

x + 4° + x = 90°
2x = 90° - 4°
2x = 86°
x = 86° ÷ 2
x = 43° ANGLE B.

Angle A = x + 4° ⇒ 43° + 4 = 47°

Given:
Angle D is 5 times the measure of Angle E. These angles are supplementary. This means that their sum is 180°

Angle D = 5x ; Angle E = x

5x + x = 180°
6x = 180°
x = 180° ÷ 6
x = 30°  Angle E.

Angle D = 5x = 5(30) = 150°