Question

question 4 of 10 what is the value of x? a. 160° b. 20° c. 55° d. 50°

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let the triangle have interior angles \(A = 55^{\circ}\), \(B=x^{\circ}\) and the exterior angle \(C = 105^{\circ}\). According to the exterior - angle property of a triangle, \(C=A + B\).

Step2: Solve for \(x\)

We know that \(105=55 + x\).
To find \(x\), we subtract 55 from both sides of the equation: \(x=105 - 55\).
\(x = 50^{\circ}\)

Answer:

D. \(50^{\circ}\)