Question

Match the value of x in each case;

• A. ${45}^{\circ }$
• B. ${135}^{\circ }$
• C. ${120}^{\circ }$

Answer 1

In this figure ${45}^{\circ }$ and x are pair of corresponding angles
and , corresponding angles are equal to each other
So, x = ${45}^{\circ }$

In this figure, ${45}^{\circ }$ and x are pair of co-interior angles
And , sum of co-interior angles is ${180}^{\circ }$
So,
x + ${45}^{\circ }$ =${180}^{\circ }$
x = ${135}^{\circ }$

In the above figure, x and ${120}^{\circ }$ are pair of alternate interior angles. Alternate interior angles are equal.
So, x = ${120}^{\circ }$