Maths-

General

Easy

Question

# In the figure, if AB = AC, and AE = AD, then x is equal to

- 15º
- 10º
- 12½
- 7½

Hint:

### assume the base angles to be any variable and apply the property that sum of interior angles of a triangle = 180 degree

## The correct answer is: 15º

### 15

Let angle B= C =y

A= 180 – 2y

Angle DAC = 180-2y-30=150-2y

ADE= DEA

2<ADE =180 – (150-2y)=2y+30

<ADE= y+15

<ADC = <ABD + <DAB( exterior angle = sum of interior opposite angles)

15+y +x= 30 + y

X=15 degree

exterior angle = sum of interior opposite angles is a property of triangles

sum of interior angles of a triangle = 180 degree

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