Question

In the accompanying diagram of isosceles triangle ABC, AB=BC, BAC=x and m= ABC=2x+52

What is the Value of X
- 32
- 62
- 12
- 57

Answer 1

x = 32

Explanation:

Since this is an isosceles triangle, the measure of both ∠A and ∠C both can be represented with x.

The sum of interior angles in a triangle is equal to 180°.

2x + 52 + x + x = 180

• Add like terms.

4x + 52 = 180

• Subtract 52 from both sides.

4x = 128

• Divide both sides by 4.

x = 32