One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.
1 answer:
Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,
According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,
Putting the value of x from above equation in equation (1),
Now put the value of y in equation (1), so,
So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
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