Suppose you are given two angles A and B in which angle a is equal to angle b. If the measure of a compliment of angle a is equal to 5x+20 and the measure of angle b equals 3x+40, what is the measure of a supplement of angle

Question

Mathematics

Reilly Powell

28 February, 00:46

Suppose you are given two angles A and B in which angle a is equal to angle b. If the measure of a compliment of angle a is equal to 5x+20 and the measure of angle b equals 3x+40, what is the measure of a supplement of angle

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Landyn Li · Answer 1

5x + 20 = 90 - a = 90 - (3x + 40)

5x + 20 = 90 - 3x - 40 = 50 - 3x

5x + 3x = 50 - 20

8x = 30

x = 30/8 = 15/4

b = 3 (15/4) + 40 = 45/4 + 40 = 51.25

The measure of a supplementary angle is 180 - 51.25 = 128.75