Question 82

An angle is four times its complementary angle. What is the measure of the angle?

Solution

Let the angle = $$\theta$$

Its complementary angle = $$(4\theta)$$

Sum of an angle and its complementary angle = 90°

=> $$\theta + (4\theta) = 90$$°

=> $$5 \theta = 90$$°

=> $$\theta = \frac{90}{5} = 18$$°

$$\therefore$$ Measure of the angle = $$4 \times 18 = 72$$°

=> Ans - (A)

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