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Question

Find the measure of an angle which is 20% greater than its complementary angle?

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Solution

Let angle be x
20% of x = 20(x)/100 = x/5
second angle = x+x/5 = 6x/5
x+6x/5 = 90 [ complimentry angles]
(5x+6x)/5 = 90
11x/5 = 90
x = 90(5)/11
x = 40.91

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