Question

In the given figure, AB || DC. If x = 4/3y and y= 3/8z , find x,y,z.






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Answer 1

Step-by-step explanation:

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Solution:-

Given : AB || DC ; x = 4/3y and y = 3/8z.

AB || DC,

⇒ ∠ ABD = ∠ BDC (Alternate angles)

In Δ BDC,

x + y + z = 180°

⇒ 4/3y + 3/8z + z = 180°

⇒ First we will solve the 4/3y.

⇒ 4/3y (since he value of y = 3/8z)

⇒ 4/3 × 3/8z

⇒ 12/24z

⇒ 1/2z

Now, 1/2z + 3/8z + z = 180°

⇒ After taking L.C.M. we get,

⇒ (4z