Question

If AB||CD,CD||EF and y:z=3:7,find x

Answer 1

Answer:

21

Step-by-step explanation:

bcoz in ratio we are multiplying so ab||cd,cd||ef

so that 3:7 and hv to find x

so put heading thei

y:z

so

3*7 = 21

Answer 2

Answer:

• x = 126°

Step-by-step explanation:

Given :

• AB||CD, CD||EF

• y:z = 3:7

To Find :

The value of x

Solution :

Let the ratio of y and z be a

y = 3a

z = 7a

• x = z. (Alternate interior angles) ________(I)

x + y = 180° (co-interior angle on the same side of the transversal)

z + y = 180°

↦ 7a + 3a = 180°

↦ 10a = 180°

↦ a = 180/10

↦ a = 18°

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• 7a => 7 × 18 = 126°

• 3a => 3 × 18° = 54°

z = x ( using equation I)

$★\boxed{\pink{x = 126°}}{★}$

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