MCQ
An angle is 4 time its complement. Find measure.
- A42º
- B62º
- C52º
- D72º
✓
Answer
- 72º
Solution:
If x is the angle, its complement will be (90º - x),
because they have to add up to 90, and here x + (90º - x) = 90º
x is equal to 4 times of its complement, so we have
x = 4 × (90º - x)
⇒ x = 360º - 4x
⇒ 5x = 360º
$\Rightarrow\ \text{X}=\frac{360^\circ}{5}$
$\Rightarrow\ \text{X}=72^\circ$
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