Question

the difference in the measures of two complementary angles is 12 degree find the measures of the angles

Answer 1

Let the two angles be x
x + ( x+12) = 90 degrees
x + x + 12 = 90
2x + 12 = 90
2x = 90 - 12
= 78
x = 78/2
x = 39

x = 39 degrees
x+12 = 39 + 12 = 51 degrees

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Answer 2

Step-by-step explanation:

Let angle A and angle B be two complementary angles

therefore A + B = 90° -----(i)

difference between these two angles is 12°

therefore A - B = 12° -------(ii)

Adding equation (i) and (ii)

A + B + A - B = 90°+ 12°

2A = 102°

A = 51°

substitute value of A in equation (i)

51°+ B = 90°

B = 90°- 51°

B = 39°

angle A = 51° and angle B = 39°

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