Question

The figure below shows a pair of parallel lines being cut by a transversal. If the value of $\angle 5$ is ${67}^{\circ }$, find the value of $\angle 4$.

• A. ${69}^{\circ }$
• B. ${67}^{\circ }$
• C. ${113}^{\circ }$
• D. ${23}^{\circ }$

Answer 1

The correct option is B ${67}^{\circ }$

Given that the two lines are parallel:
$\angle 7$ = $\angle 5$ [Corresponding angles]
Also,
$\angle 4$ = $\angle 7$ [Vertically opposite angles]
Hence $\angle 4$ = $\angle 5$ = ${67}^{\circ }$