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in pentagon ABCDE , measure of angle a= 87 degrees, measure of angle b= 125 degrees, measure of angle c= 63 degrees, and measure of angle e=95 degrees, find the measure of angle d?

A160º
B169º
C170º
D530º

Verified Answer :

Hagrid

The total interior angle of a polygon can be solved by (n-2)180, where n is the number of sides of the said polygon. In a pentagon, n = 5, so (5-2)180 = 540°. We now equate the sum of angles a, b, c, d and e to 540. We now have 540 = 87 + 125 + 63 + d + 95. Solving for d will give us a value of 170°. Therefore, the correct answer is (C).

Answer:

C

Step-by-step explanation:

The total interior angle of a polygon can be solved by (n-2)180, where n is the number of sides of the said polygon. In a pentagon, n = 5, so (5-2)180 = 540°. We now equate the sum of angles a, b, c, d and e to 540. We now have 540 = 87 + 125 + 63 + d + 95. Solving for d will give us a value of 170°. Therefore, the correct answer is (C).

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