Question

In pentagon ABCDE, A = 87º, B = 1250, C = 63º, and E = 95º. Find

D.
A. 160
B. 169
C. 170
D 530​

Answer 1

`D = 170\º`

Explanation:

Given

Shape: Pentagon

`A = 87\º`

`B = 125\º`

`C = 63\º`

`E = 95\º`

Required

Find D

From the sum of angles in a Pentagon; we have that

`A + B + C + D + E = 540`

Substitute values for A, B, C and E

`87\º + 125\º + 63\º + D + 95\º = 540\º`

Collect Like Terms

`87\º + 125\º + 63\º + 95\º + D = 540\º`

`370\º + D = 540\º`

Collect Like Terms

`D = 540\º - 370\º`

`D = 170\º`

Hence, from the list of given options, the correct answer is 170