Question

Match the given images with their respective values of unknown angle 'z'.

• A. 110${}^{\circ }$
• B. 60${}^{\circ }$
• C. 120${}^{\circ }$

Answer 1

When 2 lines are parallel, corresponding angles are equal. Given angles in the first image are corresponding angles. So z = 120${}^{\circ }$.

When 2 lines are parallel, alternate interior angles are equal. Given angles in the second image are alternate interior angles. So z = 60${}^{\circ }$.

Given angles in the third image are co-interior. Co-interior angles are supplementary.
$\therefore$ z + 70${}^{\circ }$ = 180${}^{\circ }$
$\Rightarrow$ z = 110${}^{\circ }$