Question

In figure, if $AB\parallel CD,\angle APQ={50}^o$ and $\angle PRD={127}^o$, find x and y.

• A. $x={50}^o$
• B. $x={77}^o$
• C. $y={50}^o$
• D. $y={77}^o$

Answer 1

Answer: (A), (D)

$x={50}^o$
$y={77}^o$

Given, $AB\parallel CD,\angle APQ={50}^o$

$x=\angle APQ$ (Corresponding angles)

$x={50}^o$

$x+y={127}^o$ (Triangle's angle sum rule)

$y={127}^o-x={127}^o-{50}^o={77}^o$