Mathematics
Karima4
76

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.

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(2) Answers
JamieJamieJamie

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°

alexiswhiteside

Angle D is 5 times greater than Angle E. These angles is supplementary. This means that their sum is 180°

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