Question
Two complementary angles are in the ratio 7 : 8. Find the angles.

Answer

Let two complementary angles are 7x and 8x
∴ 7x + 8x = 90°
⇒ 15x = 90°
$\Rightarrow x=\frac{90^{\circ}}{15}$
⇒ x = 6°
∴ Two complementary angles are
7x = 7 x 6° = 42°
8x = 8 x 6° = 48°

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