Question

Find the value of x for line p to be parallel to line q

Answer 1

m angle 1= m angle 3= 122(Corresponding angle)

2x=122

x= 122/2=61.

Answer 2

Explanation:

We know that when two lines are parallel to each other and are intersected by a transversal, all sets of corresponding angles are equal to each other, meaning

∠1 = ∠3

However, it is given that

∠1 = 2x and ∠3 = 122°, which means

$\mathsf{2x=122}$

∴ $\mathsf{x=\frac{122}{2} = 61}$

Hence, x = 61.

Answer: x = 61

I hope this helps. :D