Question

(a) In the figure shown below, what are the conditions on $\angle NOB$ and $\angle MPC$ that assure that line segment AB is parallel to the line segment CD? [2 MARKS]

(b)

Given line 'm' is parallel to line 'l'. Find x?

Answer 1

Each part: 1 Mark


(a)



For the lines to be parallel, $\angle NOB$ has to be equal to $\angle MPC$ (Alternate Interior Angles)


(b) If two parallel lines are cut by a transversal then the corresponding angles are equal.

So, $x={35}^{\circ }$.