Question

In the figure, AB || CD and t is a transversal, then
find the value of x.​

Answer 1

Answer:

Angle (2x + 40) and Angle (x + 90) are equal because they are alternate interior angles.

Step-by-step explanation:

So

2x + 40 = x + 90

2x - x = 90 - 40

x = 50

VERIFICATION

2(50) + 40 = 50 + 90

100 + 40 = 140

140 = 140

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Answer 2

Solution :-

given that, AB || CD and t is a transversal .

So,

→ (2x + 40°) = (x + 90°) { Alternate interior angles are equal in measure . }

→ 2x - x = 90° - 40°

→ x = 50° (Ans.)

Hence, value of x is equal to 50° .

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