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ABCD is a parallelogram with angle $A = (3 x + 10)$ deg and angle $B = (2 x - 30)$ deg.
Using the adjacent-angle property, find the value of $x$ .

Class 9Conditions for a ParallelogramGeometry — Quadrilaterals

A80
B36
C44
D40

Step-by-Step Solution

Adjacent angles are supplementary:

(3 x + 10) + (2 x - 30) = 180

, so

5 x - 20 = 180, 5 x = 200, x = 40

.

Answer: D) 40

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