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Question
In the following figure, two straight lines AB and CD are intersecting each other at the point O. The value of ∠x – ∠y is _____.
In the following figure, two straight lines AB and CD are intersecting each other at the point O. The value of ∠x – ∠y is _____.
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Solution
The correct option is C 56°
As AB and CD are intersecting at point O.
∠y = 62° [Vertically opposite angles]
∠x + 62° = 180° [Linear pair]
∠x = 180° - 62° = 118°
⟹ ∠x – ∠y = 118° – 62°
⟹ ∠x – ∠y = 56°.
As AB and CD are intersecting at point O.
∠y = 62° [Vertically opposite angles]
∠x + 62° = 180° [Linear pair]
∠x = 180° - 62° = 118°
⟹ ∠x – ∠y = 118° – 62°
⟹ ∠x – ∠y = 56°.
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