In pentagon ABCDE , measure of angle a= 87 degrees, measure of angle b= 125 degrees, measure of angle c= 63 degrees, and measure

Question

erica [24]

4 years ago

6

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?
A. 160º
B. 169º
C. 170º
D. 530º

Mathematics

1 answer:

rodikova [14] · Answer 1 · 2022-02-03T14:54:27+03:00

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).