Question

In the given figure, two parallel lines l and m are cut by two transversal p and q. Determine the values of x and y.

[3 marks]

Answer 1

Solution:

From the given figure,

$x={110}^{\circ }\left[alternateinteriorangles\right]$
(1 Mark)

Now,
We know that the sum of interior angles on the same side of transversal is ${180}^{\circ }$.
As l || m and p is a transversal;
$\Rightarrow y+{80}^{\circ }={180}^{\circ }$

$\Rightarrow y={180}^{\circ }-{80}^{\circ }\Rightarrow y={100}^{\circ }.$
(2 marks)