Question

Question 161
Find the values of x and y in the following parallelogram.

Answer 1

In a parallelogram, adjacent angles are supplementary.
$\therefore {120}^{\circ }+(5x+10{)}^{\circ }={180}^{\circ }\Rightarrow 5x+{10}^{\circ }+{120}^{\circ }={180}^{\circ }\Rightarrow 5x={180}^{\circ }-{130}^{\circ }\Rightarrow 5x={50}^{\circ }\Rightarrow x={10}^{\circ }$
Also, opposite angles are equal in a parallelogram.
Therefore, $6y={120}^{\circ }\Rightarrow y={20}^{\circ }$