smaller by 4º. Find the measure of the larger angle. One of two complementary angles added...

Question

Question

math geometry

Answer 1

Answer #1

complementary angles are angles whose sum = 90

Let the 2 angles be x and y. Therefore x + y = 90 or y = 90 - x ----- (1)

Also x + (y/2) = 72

Therefore 2x + y = 144 ----- (2)

putting (1) in (2)

2x + (90 - x) = 144

x = 144 - 90 = 54

y = 90 - 54 = 36

Therefore the larger angle = 54^o.

Answer 2

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