Question

What is the value of x? A. 68° B. 62° C. 112° D. 124

Answer 1

If a triangle has two sides where they are the same length, then the base angles are both the same degrees.

So, we know the other base angle is also 56°.

We also know that all triangles' interior angles add up to 180°.

We will build an equation to solve for x.

56 + 56 + x = 180

Solve for x.

56 + 56 + x = 180
112 + x = 180 <-- Combine like terms
x = 68

So, we know that x is equal to 68 degrees.

Answer 2

The triangle drawn in the question shows a small single line drawn across two sides of the triangle.

This means that those two sides are equal in length.

Hence, the triangle is an isosceles triangle.

In isosceles triangles, the angles opposite to the equal sides are also equal.

Hence, we know that the two angles other than x is 56°.

The sum of the interior angles of a triangle is 180°

x + 56 + 56 = 180

x = 180 - 56 - 56

x = 180 - 112

x = 68°

Hence, the answer is A.