1. In the figure shown below, the value of angle ‘a’ is 120°. If the lines AB and CD are parallel to each other and if EF is the transversal, then what is the value of ‘b’?
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Correct answer is option - 2
Explanation:
If a transversal crosses a pair of parallel lines, then the vertically opposite angles are equal to each other.
Here, ‘a’ and ‘b’ are vertically opposite angles and hence a= b= 120°.
2. In the figure shown below, the value of angle ‘x’ is 50°. If the lines AB and CD are parallel to each other and if EF is the transversal, then what is the value of ‘y’?
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Correct answer is option - 3
Explanation: If a transversal crosses a pair of parallel lines, then the vertically opposite angles are equal to each other.Here, ‘x’ and ‘y’ are vertically opposite angles and hence x= y= 50°.
3. The two vertically opposite angles formed by intersecting lines are (x + 40)° and (2x – 60)°. What is the value of ‘x’?
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Correct answer is option - 4
Explanation: Vertically opposite angles are equal to each other in measure.
Therefore, (x + 40)° = (2x – 60)°.
Now solving for ‘x’, we get: 60 + 40 = 2x – x -> 100 = x.
Hence the value of x = 100.
4. In the figure shown below, the value of angle ‘x’ is 60°. What is the value of ‘y’?
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Correct answer is option - 1
Explanation: Here, ‘x’ and ‘y’ are vertically opposite angles and hence x= y= 60°.
5. The two vertically opposite angles formed by intersecting lines are (3x -20)° and (2x +50)°. What is the value of ‘x’?
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Correct answer is option - 3
Explanation: Vertically opposite angles are equal to each other in measure.
Therefore, (3x - 20)° = (2x + 50)°.
Now solving for ‘x’, we get: 3x– 2x = 50 + 20==> x = 70.
Hence the value of x = 70.