Question 82

An angle is greater than its complementary angle by 30°. Find the measure of the angle?

Solution

Let the angle = $$\theta$$

Its complementary angle = $$(\theta - 30$$°$$)$$

Sum of an angle and its complementary angle = 90°

=> $$\theta + (\theta - 30$$°$$) = 90$$°

=> $$2 \theta = 90$$°$$ + 30$$°$$ = 120$$°

=> $$\theta = \frac{120}{2} = 60$$°

=> Ans - (C)

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