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lutik1710 [3]
3 years ago
15

If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle. Show equations and w

ork that lead to your answer.
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

It is given in the question that

If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle.

First we have to find the sum of measurement of all the angles of a convex pentagon, by using the formula

=(n-2)*180

Where n is the number of sides. And for polygon, it is 5 .SO the  sum of measurement of angles of a polygon is

=(5-2)*180 = 540 \degree

Let the measurement of missing angle be x .

So we have

120+93+108+101+x=540

422+x =540

x=540-422=118


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