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In-s
[12.5K]
2 years ago
14
Two angles are supplementary. The measure of one angle is 4 times the measure of the other angle. What is the measure of the sma
ller angle
Mathematics
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answer:
Alexus
[3.1K]
2 years ago
3
0
ANSWER
The smaller angle is
.EXPLANATION
Let the angles be
where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,
If one angle is 4 times the other, we can then write the following equation,
We put equation (2) into equation (1) to get,
We divide through by 5 to obtain,
This implies that,
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