Question 69

An angle is smaller than its supplementary by 30°. What is the measure of the angle?

Solution

Let the angle = $$\theta$$

Its supplementary angle = $$(\theta + 30$$°$$)$$

Sum of an angle and its supplementary angle = 180°

=> $$\theta + (\theta + 30$$°$$) = 180$$°

=> $$2 \theta = 180$$°$$ - 30$$°$$ = 150$$°

=> $$\theta = \frac{150}{2} = 75$$°

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