Question

Find the value of x in the triangle shown below

Answer 1

We know that:

• Sum of interior angles of triangle: 180°

We can see that the two lines of the triangle are equivalent.

This means that:

• The triangle is an isosceles triangle.
• The bottom angles must be equivalent.

Equation created: 58 + x + x = 180

Simplify the LHS.

• 58 + x + x = 180
• => 58 + 2x = 180

Subtract 58 both sides.

• => 58 - 58 + 2x = 180 - 58
• => 2x = 122

Divide 2 both sides.

• 2x = 122
• => 2x/2 = 122/2
• => x = 122/2 = 61

Answer 2

61

Explanation:

We see that the triangle is isosceles as the two sides of it are 6.

In an isosceles triangle, you have two sides that are the same and two angles that are the same.

The two congruent angles will be opposite to the congruent sides.

So, we know that both angles must be x.

The Angles of a triangle add up to 180 degrees.

2x + 58 = 180

2x = 122

x = 61 ddegrees