Question 44

An angle is greater than its complementary angle by 40°. Find the measure of the angle?

Solution

Let the angle = $$\theta$$

Its complementary angle = $$(\theta - 40$$°$$)$$

Sum of an angle and its complementary angle = 90°

=> $$\theta + (\theta - 40$$°$$) = 90$$°

=> $$2 \theta = 90$$°$$ + 40$$°$$ = 130$$°

=> $$\theta = \frac{130}{2} = 65$$°

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