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4 angles of a pentagon are 70°, 110°, 135° and 95°. Find the measure of the fifth angle of the pentagon.
Question

4 angles of a pentagon are 70°, 110°, 135° and 95°. Find the measure of the fifth angle of the pentagon.

A.

134°

B.

128°

C.

130°

D.

132°

Correct option is C

Given:

4 angles of a pentagon are 70°, 110°, 135° and 95°.

Formula Used:

Sum of all angle  = 180°(n2)\degree(n-2)

n = number of sides

Solution:

Number of side in pentagon = 5

Sum of angle of pentagon = 180°(n2)\degree(n-2)= 180°×3=540°\degree\times3= 540\degree

Sum of four angles = 70°+110°+135° + 95° =410°\degree 

So fifth angle = 540°410°=130°540\degree -410\degree=130\degree​​

°\degree

​​

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