Q. 124.0( 8 Votes )

In a parallelogram ABCD, if A=(3x-20)°, B = (y+15)° and C = (x+40)°, then find the values of x and y.

Answer :

Given,


In parallelogram ABCD


Opposite Angles are equal.


A = C


3x-20 = x + 40


2x = 60


x = 30


Consecutive angles are supplementary (A + B = 180°).


3x – 20 + y + 15 = 180


3x + y = 185


3 × 30 + y = 185


y = 185 – 90 = 95


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