Question

In the adjacent figure AB||CD; CD||EF and y:z =3:7, find x.

Answer 1

Step-by-step explanation:

Given In the adjacent figure AB||CD; CD||EF and y:z =3:7, find x.

• Given y/z = 3/7
• Also CD is parallel to EF
• Let the centre point be O so that it is COD
• Also let a point be M in between E and F and a point P in between C and D
• Let angle COM = p
• Therefore p = z (since alternate interior angles)
• Now y + p = 180 degree
• And y + z = 180 (since p = z)
• We have y = 3/7 z, so we get
• So 3/7 z + z = 180
• Or 3z + 7z / 7 = 180
•     10 z / 7 = 180
• Or 10 z = 180 x 7
• Or z = 126 degree
• So y = 3/7 z
• Or y = 3/7 x 126
• Or y = 54 degree.
• Now we need to find x.
• So AB is parallel to CD, also RS is the transversal  
• So we have sum of interior angles on the same side of transversal is supplementary.
• Therefore x + y = 180
•             Or x + 54 = 180
•             Or x = 180 – 54
•             Or x = 126 degree

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https://brainly.in/question/14168375

Answer 2

Step-by-step explanation:

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