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Anna71 [15]
3 years ago
15

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

Mathematics
1 answer:
nadezda [96]3 years ago
8 0
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 \times 30 + 3 = 150 + 3 = 153
or180 - 27 = 153

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