Question

13 multiple choice 1 point
what is the value of x?
114°
(2x)°
76
38
57
85

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(x + 2x=114\).

Step2: Solve the equation

Combine like terms: \(3x = 114\).
Divide both sides by 3: \(x=\frac{114}{3}\).

Answer:

\(38\)