Question

Two complementary angle are in the ratio 7:8 Find the angles.
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Answer 1

7x+8x= 90 (measure of two complementary angles)

15x= 90 (added the terms 7x and 8x)

x=90÷15

x=6

7x=7×6=42 degrees

8x=8×6=48 degrees

Answer 2

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Sum of the complementary angles= 90°

Ratio of the angles =7:8

Sum of the terms=15

So,

Measure of the 1st angle

$\frac{7}{15} \times 90 = 42 \:$

Measure of the 2nd angle

$\frac{8}{15} \times 90 = 48$

Therefore 1st angle is 42° and 2nd angle is 48°

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