Question

I need to solve for x

Answer 1

Answer:

x = 10

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.

In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.

Establish the following equation according to the exterior angle theorem:

< V + < W = < JUV

88° + (5x + 1)°  = (14x - 1)°

Solve for x algebraically:

88° + 5x + 1  = 14x - 1

89 + 5x = 14x - 1

89 + 1 + 5x = 14x - 1 + 1

90 +  5x = 14x

90 + 5x - 5x = 14x - 5x

90 = 9x

90/9 = 9x/9

10 = x

Therefore, the value of x = 10.