Question

Solve the following :
Find the values of $x$ and $y$ in the following parallelogram.

Answer 1

Adjacent angles of a parallelogram are supplementary.

$\Rightarrow {120}^{\circ }+(5x+10{)}^{\circ }={180}^{\circ }$

$\Rightarrow 5x+{10}^{\circ }+{120}^{\circ }={180}^{\circ }$

$\Rightarrow 5x={180}^{\circ }-{130}^{\circ }$

$\Rightarrow 5x={50}^{\circ }$

$\Rightarrow x={10}^{\circ }$

Also, opposite angles of parallelogram are equal.

$\Rightarrow 6y={120}^{\circ }$

$\Rightarrow y={20}^{\circ }$