In the following figure, two straight lines AB and CD are intersecting each other at the point 0 and the angles thus formed at 0 are marked, then the value of ∠x – ∠y is
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Answer:
The value of angle x - angle y = 56°
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Solution :-
given that, two straight lines AB and CD are intersecting each other at the point O .
and,
→ ∠BOD = 62°
Since, CD is a straight line .
So,
→ ∠x + ∠BOD = 180° { Linear pair }
→ ∠x + 62° = 180°
→ ∠x = 118°
now,
→ ∠y = ∠BOD { Vertically opposite angles }
→ ∠y = 62°
therefore,
→ ∠x - ∠y = 118° - 62°
→ ∠x - ∠y = 56° (Ans.)
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