In the given figure, show that CD||EF.
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Hey Friend...
Here is the Solution.
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⇒
↓
∠ BAD = ∠BAE + ∠EAD
∠ BAD = 40° + 35°
∠ BAD = 75°
⇒ NOW
∠BAD = ∠ADC
∵ These are alternate angles
∴ CD ║ AB -------(1)
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Now,
→ ∠BAE + ∠AEF
→ 40° + 140°
→ 180°
∠ BAE + ∠ AEF = 180°
∵ These are co-interior angles
→ ∴ AB ║ EF -------(2)
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→→ From eq. (1) & eq. (2) ←←
____AB ║ EF ║ CD______
.
Therefore, CD ║ EF
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I Hope This Will Help You
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