Question

Please help me stuck on this question.

Answer 1

Answer:

x = 65°

Step-by-step explanation:

See the attached diagram.

Given lines, p and q are parallel and line a and b are parallel to each other.

So, the closed figure that formed is a parallelogram.

Then, two opposite angles indicated by y are equal.

Now, angle y and angle 50° makes a straight line so, they are supplementary.

Then, 50 + y = 180

⇒ y = 180 - 50 = 130°

Now, angles 2x and y are vertically opposite angles.

Therefore, 2x = 130°

⇒ x = 65° (Answer)