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professor190 [17]
3 years ago
5

Please help me stuck on this question.

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

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)

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