Question
An angle is equal to five times its complement. Determine its measure.
✓
Answer
Let the complement of the required angle measures x°. Therefore, the required angle becomes 5x°. Since, the angles are complementary. Thus, their sum must be equal to 90°. Or we can say that : x + 5x = 90° 6x = 90°$\text{x}=\frac{90^\circ}{6}$
x = 15° Hence, the required angle becomes: 5x = 5(15°) = 75°.
x = 15° Hence, the required angle becomes: 5x = 5(15°) = 75°.
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