Question

Find the value of x in the isosceles triangle below.

need this ASAP! Please include an explanation if possible

Answer 1

x = 64

Explanation:

Remark

The markings on the triangle tell us that the sides are equal. There is no marking on the third side, so it is not equal to the other two. The important fact is the angles opposite equal sides are also equal. That means that the angle on the lower right is equal to x.

Equation

So you have two angles = to x.

x + x + 52 = 180 All triangles have interior angles of 180

2x + 52 = 180 Combine the like terms on the left.

- 52 -52 Subtract 52 from both sides

2x = 128 Divide by 2

2x/2 = 128/2

x = 64