Maths-

General

Easy

Question

# In the given figure, and then the value of x =

- 233
- 292
- 195
- 127

Hint:

### In this question, we have to find the value of x using the figure given. For that first we will extended a line such that they intersect with a common transversal. Later using the common theorems like angle property of parallel line and triangle we can find the required value of x.

## The correct answer is: 233

Extended DE so that it intersect AB at F.

Now, FDA = FDA + FDE = x - 180 [FDE is 180 as FDE is a straight line]

Now, BC II GE and AB is a transversal.

CBA + BFE = 180 [corresponding angles]

BFE + 112 =180

BFE = 68

Now, in AFD,

FAD + FDA = BFD [exterior angle is equal to sum of opposite interior angles]

15 + x - 180 = 68

x = 233

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