Question

what value of x make AB parallel to CD​

Answer 1

Given:

Angle EMB=2x°+61°

Angle MND=5x°+10°

To find:

The value of x for which lines AB and CD will be parallel

Solution:

The value of x for which lines AB and CD will be parallel is 17°.

We can find the value by following the steps given below-

We know that the lines AB and CD will be parallel if the corresponding angles formed by the transversal EF are equal in measure.

So, for AB and CD to be parallel, angle EMB should be equal to angle MND.

We are given that angle EMB=2x°+61° and angle MND=5x°+10°.

On putting angle EMB=angle MND,

2x°+61°=5x°+10°

We will solve the equation to find the value of x.

61°-10°=5x°-2x°

51°=3x°

51°/3=x°

17°=x°

So, for x=17°, lines AB and CD will be parallel.

Therefore, the value of x for which lines AB and CD will be parallel is 17°.

Answer 2

Answer :-

17°

Step-by-step Explanation :-

In figure, AB || CD ; EF is a transversal

• 2x°+61° = 5x°+10° (Corresponding Angles)

Solving this, we get

• 61°-10° = 5x°-2x°
• 51° = 3x°
• 51°/3 = x
• x = 17°

Therefore, x = 17°

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