Question

(a) Lines AB & CD are parallel and cut by a transversal t. List the alternate, corresponding, co-interior and vertically opposite angles.

(b) (i)


l and m are parallel lines and t is the transversal. Find x

(ii)


l and m are parallel lines and t is the transversal. Find x.
[4 MARKS]

Answer 1

(a) Solution: 2 Marks
(b) Each part: 1 Mark

(a) $\Rightarrow$ Corresponding Angles

$\angle 1=\angle 5,\angle 3=\angle 7,\angle 2=\angle 6,\angle 4=\angle 8$;

$\Rightarrow$ Vertically Opposite Angles:

$\angle 1=\angle 4,\angle 2=\angle 3,\angle 5=\angle 8,\angle 6=\angle 7$;

$\Rightarrow$ Alternate Interior Angles:

$\angle 3=\angle 6,\angle 4=\angle 5$;

$\Rightarrow$ Alternate Exterior Angles:

$\angle 1=\angle 8,\angle 2=\angle 7$;

$\Rightarrow$ Co-interior Angles:

$\angle 4,\angle 6,\angle 3,\angle 5$.



(b) (i) $x={60}^{\circ }$ (Alternate Angles)

(ii) $x={120}^{\circ }$ (Corresponding Angles)