The interior angles of a pentagon are 126°, 114°, y, 92° and 83°. Find the...

MATHEMATICS

WAEC 1997

The interior angles of a pentagon are 126°, 114°, y, 92° and 83°. Find the value of y.

A. 85°
B. 95°
C. 105°
D. 125°

Correct Answer: D. 125°

Explanation

Sum of the angle of a pentagon

= (2 x 5 - 4) x 90

= 540^o

126 + 114 + y + 92 + 83 = 540

y = 540 - 415 = 125^o

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