Question

In the following figure, PQRS is a parallelogram.


Find the measure of x${}^{\circ }$ and y${}^{\circ }$.

• A. 100${}^{\circ }$ and 80${}^{\circ }$.
• B. 70${}^{\circ }$ and 110${}^{\circ }$.
• C. 90${}^{\circ }$ and 120${}^{\circ }$.
• D. 500${}^{\circ }$ and 130${}^{\circ }$.

Answer 1

The correct option is B 70${}^{\circ }$ and 110${}^{\circ }$.

Opposite angles in a parallelogram are equal.

Therefore, x${}^{\circ }$ = 70${}^{\circ }$

Now,
y${}^{\circ }$ + x${}^{\circ }$ = 180${}^{\circ }$
[sum of adjacent angles of a parallelogram is 180${}^{\circ }$]

y${}^{\circ }$ = 180${}^{\circ }$ – 70${}^{\circ }$
= 110${}^{\circ }$

Hence, the measure of x${}^{\circ }$ and y${}^{\circ }$ are 70${}^{\circ }$ and 110${}^{\circ }$ respectively.