Question

find x y z in the given figure AB is parallel to CD
above figure ​

Answer 1

Answer:

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Answer 2

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Given :

• ∠BAC = 53°

• ∠BCD = 70°

• AB || CD

To Find :

• x , y and z

Solution :

AB || CD and BC is a transversal.

So, ∠BCD = x = 70° [Alternate Interior Angle]

In △ABC

∠BAC+∠BCD+∠ACB = 180° [Angle Sum Property]

➨ 53° + 70° + ∠ACB = 180°

➨ 123° + ∠ACB = 180°

➨ ∠ACB = 180°- 123°

➨∠ACB = 57°

Therefore, ∠ACB = z = 57°

∠ACE = 180° [ Straight angle ]

➨∠BCD + z + y = 180°

➨ 70° + 57° + y = 180°

➨ 117° + y = 180°

➨ y = 180° - 117°

➨ y = 63°

Hence, x = 70°, y = 63° and z = 57°