Answer:
[tex]D = 170\º[/tex]
Step-by-step explanation:
Given
Shape: Pentagon
[tex]A = 87\º[/tex]
[tex]B = 125\º[/tex]
[tex]C = 63\º[/tex]
[tex]E = 95\º[/tex]
Required
Find D
From the sum of angles in a Pentagon; we have that
[tex]A + B + C + D + E = 540[/tex]
Substitute values for A, B, C and E
[tex]87\º + 125\º + 63\º + D + 95\º = 540\º[/tex]
Collect Like Terms
[tex]87\º + 125\º + 63\º + 95\º + D = 540\º[/tex]
[tex]370\º + D = 540\º[/tex]
Collect Like Terms
[tex]D = 540\º - 370\º[/tex]
[tex]D = 170\º[/tex]
Hence, from the list of given options, the correct answer is 170
