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marishachu [46]
3 years ago
6

One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

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,

x+y=180\ ....(1)

According to given condition,

One supplementary angle is 15 degrees less than twice the other, it means,

x=2y-15\ .....(2)

Putting the value of x from above equation in equation (1),

2y-15+y=180\\\\3y-15=180\\\\3y=195\\\\y=\dfrac{195}{3}\\\\y=65^{\circ}

Now put the value of y in equation (1), so,

x+65=180\\\\x=115^{\circ}

So, the measure of the two supplementary angles are 65 degrees and 115 degrees.

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