Question

In figure, if $ PQ\parallel RS$ and $ QR\parallel TS$, then the value $ a$ is

• A. $95°$
• B. $90°$
• C. $85°$
• D. $75°$

Answer 1

The correct option is A

$95°$

Calculate $\angle a$:

From the figure, we know that corresponding angles are equal

So,

$\angle RQP=\angle TSR=85°$ (Corresponding angles)

$a+\angle TSR=180°$

$\angle a=95°$

Hence, the correct answer is option(A).