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The four interior angles of a quadrilateral are (x + 20) o, (x+ 10) o…

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

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

Correct Answer: Option B

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