Question

Find the measure of angle x in the given figure if l || m and a || b. [2 marks]

Answer 1

Solution:
Given, $a\parallel b$ and $l\parallel m$

$\angle 1={80}^{\circ }$ [corresponding angles] (0.5 mark)

Now,

$\angle 1+\angle x={180}^{\circ }$ [ cointerior angles] (0.5 mark)

$\Rightarrow \angle x={180}^{\circ }-{80}^{\circ }$

$\Rightarrow \angle x={100}^{\circ }$ (1 mark)