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Find the measure of an angle which is 32° less than its supplement.

Solution

Let the measure of the required angle be $x^{\circ}$.

Then, measure of its supplement $=(180-x)^{\circ}$.

$$\therefore \quad(180-x)-x=32 \Rightarrow 2 x=148 \Rightarrow x=74 \text {. }$$

Hence, the measure of the required angle is $74^{\circ}$.

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