Which of these has the same answer as the problem in the box? [3 + 4 +5]
2 answers:
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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)
