If the measure of an angle is p is three times less than twice the measure of angle q and angle p and angle q are supplementary angles, find each angle measure

p= and q=

Step-by-step explanation:

We are given that  measure of an angle is P is three less than twice the measure of angle q.

We have to find the value of each angle

According to question

( By definition of supplementary

Substitute the value

Then ,we get

Substitute the value of q then, we get

Hence, p= and q=

Using the concept of supplementary angles, it is found that:

--------------------------

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Replacing the second equation into the first:

And for p:

Angle q measures 108 degrees.

Angle p measures 72 degrees.

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step-by-step explanation: