Question

Two angles are complementary. One angle is 8 times as large as the other. Find the number of degrees in each angle.

Answer 1

10 and 80

Explanation:

let the first angle be=x,

second angle=8x

x+8x=90°(complimentary angle)

9x=90

x= 10°

therefore

x=10°

8x= 8*10° = 80°

Answer 2

80° and 10°

Explanation:

{∠1 = 8∠2

{∠1 + ∠2 = 90°

8∠2 + ∠2 = 90°

|________|

9∠2 = 90°

____ ___

9 9

m∠2 = 10° [Plug this back into the equations above to get the angle measure of 80°]; 80° = m∠1

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