Question

in the following diagram, the lines ab and pq are parallel. what is the value of the unknown x?

Explanation:

Step1: Identify angle - relationship

Since AB and PQ are parallel, the angle 112° and the angle (3x - 25)° are corresponding angles and are equal. So we have the equation 3x - 25=112.

Step2: Solve the equation for x

Add 25 to both sides of the equation: 3x=112 + 25. So 3x=137. Then divide both sides by 3: x = \frac{137}{3}\approx45.67.

Answer:

\frac{137}{3} (or approximately 45.67)