Question
Find the angle that is three times its complementary angle.
✓
Answer
Let given angle = x
Let complementary angle of a given angle is y
∴ then x + y = 90
But x = 3y
∴ 3y + y = 90°
⇒ 4y = 90°
$\Rightarrow y=\frac{90^{\circ}}{4}=22.5^{\circ}$
∴ complementary = x = 90° - 22 - 5° = 67.5°
Let complementary angle of a given angle is y
∴ then x + y = 90
But x = 3y
∴ 3y + y = 90°
⇒ 4y = 90°
$\Rightarrow y=\frac{90^{\circ}}{4}=22.5^{\circ}$
∴ complementary = x = 90° - 22 - 5° = 67.5°
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