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

Mathematics

1 answer:

lesantik [10]2 years ago

6 0

Answer:

$D = 170\º$

Step-by-step 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

$D = 540\º - 370\º$

$D = 170\º$

<em>Hence, from the list of given options, the correct answer is 170</em>

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