solution of this question as per attached image: In the given figure, ABCD is a parallelogram If - Maths - Quadrilaterals

Question

​solution
of this question as per attached image: In the given figure, ABCD
is a parallelogram If x-y = 15, find the values of x and y

Varun.Rawat · Accepted Answer

In ∥gm ABCD, we have∠A + ∠B = 180°   Adjacent angles of ∥gm are supplementary⇒3y+5x-15 = 180°⇒5x + 3y = 195°   
1Now, x - y = 15°     
2Multiply 2 by 3, we get3x - 3y = 45°   
3Adding 1 and 3, we get    8x = 240⇒x = 30Now, put the value of x in 2, we get30 - y = 15⇒y = 15

​solution of this question as per attached image: In the given figure, ABCD is a parallelogram . If x-y = 15, find the values of x and y

solution of this question as per attached image: In the given figure, ABCD is a parallelogram . If x-y = 15, find the values of x and y