Question

In figure if $ AB\parallel CD$, $ \angle APQ=50°$ and$ \angle PRD=130°$, then $ \angle QPR$ is

50° 130° D

• A. $130°$
• B. $50°$
• C. $80°$
• D. $30°$

Answer 1

The correct option is C

$80°$

Step 1: Given Data

$AB\parallel CD$

$\angle APQ=50°$

$\angle PRD=130°$

Step 2: Calculate $\angle QPR$

From the figure, we observe that

$\angle APR=\angle PRD$ … [because they are interior alternate angles]

$\angle APQ+\angle QPR=130°$

$50°+\angle QPR=130°$

$\angle QPR=130°-50°$

$\angle QPR=80°$

Hence the value of $\angle QPR$ is $80°$ and therefore the correct answer is option(C).