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Find the value of x AND find the measure of each angle. (Make use of supplementary angles!)

Find the value of x AND find the measure of each angle. (Make use of supplementary-example-1

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The angles shown are supplementary, it means when we add them together, they add up to 180°:

(5x + 3) + (x - 3) = 180
Add like terms:

6x = 180
Divide both sides by 6 in order to isolate x:

x = 30
The exterior angle is:

x - 3 = 30 - 3 = 27
The interior angle is:

5x + 3 = 5 * 30 + 3 = 150 + 3 = 153
or
180 - 27 = 153

User SKeney
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