Question

In the figure if PQRS is a parallelogram, find the value of x and y.​

Answer 1

Answer:

1. x = 4°

2. y = 4°

Step-by-step explanation:

• We know that in a parallelogram the opposite sides are parallel. So, SR║PQ.

• We also know that the alternate interior angles on a transversal, i,e., a line that intersects two or more parallel lines, are equal.

(In this case, PR is the transversal and (7y,28°) and (8x, 32°) are alternate interior angles.)

From the above information, the below equations form:

• 7y = 28°

• 8x = 32°

So,

y = 28/7 = 4°

x = 32/8 = 4°

Hope it helps!