Question

A transversal crosses a pair of parallel lines to create a pair of same-side interior angles with the measurements of x° and (x−52)°. What is the value of x?

Answer 1

x=116°

Explanation:

If a transversal crosses a pair of parallel lines to create a pair of same-side interior angles with the measurements of x° and (x−52)°, then the sum of those angles is equal to 180°.

ATQ,

x°+(x-52)°=180°

2x=180°+52

⇒2x=232

⇒x=116°

So, the value of x is 116°