Question

In the given figure, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y.

[2 marks]

Answer 1

Since lines l and m are parallel and p is transversal.
Therefore, $x+{66}^{\circ }={180}^{\circ }\left[\text{consecutive angles}\right]$
[1 mark]

$\Rightarrow x={180}^{\circ }-{66}^{\circ }\Rightarrow x={114}^{\circ }$

Again, lines l, m are parallel and n is transversal.
Therefore, $y+{48}^{\circ }={180}^{\circ }\left[\text{consecutive angles}\right]$
[1 mark]

$\Rightarrow y={180}^{\circ }-{48}^{\circ }\Rightarrow y={132}^{\circ }$