Question

The legs of a stool make an angle of ${35}^{\circ }$ with the floor, as shown in the given figure. Find the measure of angles x and y.

[2 marks]

Answer 1

Since l , m are parallel lines and PQ is transversal,
$\therefore x=\angle PQR\left[alternateinteriorangles\right]\Rightarrow x={35}^{\circ }[\therefore \angle PQR={35}^{\circ }]\left[1mark\right]Again,x+y={180}^{\circ }\left[linearpair\right]\Rightarrow {35}^{\circ }+y={180}^{\circ }\Rightarrow y={180}^{\circ }-{35}^{\circ }={145}^{\circ }$
$\left[1mark\right]$