Maths-

General

Easy

Question

# In the figure, AB is parallel to CD , then x =

- 90°
- 70°
- 60°
- 80°

Hint:

### In this question, we have to find the value of x using the figure given. For that first we will draw a line parallel to both line passing through the intersecting point of the transversal. Later using the angle properties of parallel line we can find the required value of x.

## The correct answer is: 70°

Drawn a line parallel AB and CD passing through O.

As AB II OE and AO is a transversal

So, OAB + AOE = 180

AOE + 140 = 180

AOE = 40

Also, CD II OE and OC is a transversal.

So, EOC + OCD = 180

EOC + 150 = 180

EOC = 30

Hence, x = AOE + EOC = 40 + 30 = 70

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