The four interior angles of a quadrilateral are (x + 20)°, (x+ 10)°, (2x -

MATHEMATICS

WAEC 2003

The four interior angles of a quadrilateral are (x + 20)°, (x+ 10)°, (2x - 45)° and (x - 25)°. Find the value of x

A. 60
B. 80
C. 100
D. 360

Correct Answer: B. 80

Explanation

Sum of interior angles in a quadrilateral is 360

(x + 20)^o + (x+ 10)^o + (2x - 45)^o + (x - 25)^o = 360^o

5x^o - 40^o = 360^o

x = 400/5 = 80^o

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