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If Below Fig, If Ab || Cd and Cd || Ef, Find ∠Ace. - Mathematics

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Question

If below fig, if AB || CD and CD || EF, find ∠ACE.

Solution

Since EF || CD

∴ EFC + `∠`ECD = 180°                [co-interior angles are supplementary]

⇒ `∠`ECD =180° -130° = 50°

Also BA || CD

⇒`∠`BAC = `∠`ACD = 70°             [alternative angles]

But

`∠`ACE + `∠`ECD = 70°

⇒ `∠`ACE = 70° - 50° = 20°

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Chapter 10: Lines and Angles - Exercise 10.4 [Page 46]

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RD Sharma Mathematics [English] Class 9
Chapter 10 Lines and Angles
Exercise 10.4 | Q 3 | Page 46

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