In the given figure, prove that AB || CD
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Step-by-step explanation:
Given: A figure showing few lines
To Find: prove that AB II CD
Solution:
Properties of angles formed by transversal line with two parallel lines :
- Corresponding angles are congruent.
- Alternate angles are congruent.
(Interiors & Exterior both )
- Interior angles are supplementary.
(adds up to 180°)
AE is transversal for AB & EF
130° +50° = 180° Interior angles are
supplementary
=> AB || EF
30° +50° = 80°
CE is transversal for CD & EF
80° = 80°
Alternate Interiors angles are congruent.
Hence CD II EF
AB || EF
CD || EF
=> AB || CD
Hence Proved
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Answer:
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