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| 1. |
In the given figure , AB||CD, then find the value of X |
| Answer» VALUE of x is 100°Step-by-step EXPLANATION:To find : Value of x.Construction : Construct a LINE PO which will be parallel to AB and CD.Given that,AB is parallel to CD.∠OAB is 132°And, ∠AOC or ∠O is 148°.By co-interior ANGLES :⇒∠OAB + ∠AOP = 180°⇒ 132° + ∠AOP = 180°⇒ ∠AOP = 180° - 132°⇒ ∠AOP = 48°• ∠AOP + ∠POC = ∠O⇒ 48° + ∠POC = 148°⇒ ∠POC = 148° - 48°⇒ ∠POC = 100°Now, By Corresponding angles :⇒∠POC = x⇒ ∠POC = 100°⇒ x = 100°Thus,Value of x is 100°. | |