Question

in the following diagram, the lines ab and pq are parallel to each other and tt is the transversal. what is the value of the unknown x?

Explanation:

Step1: Use corresponding - angles property

Since AB and PQ are parallel, the angle (3x - 25) and the angle adjacent to 112° are corresponding angles. The angle adjacent to 112° is 180° - 112°=68° (linear - pair property).
So, 3x−25 = 68.

Step2: Solve the equation for x

Add 25 to both sides of the equation 3x−25 = 68. We get 3x=68 + 25, so 3x=93.
Then divide both sides by 3: x = 93÷3.

Answer:

31