Question

find the value of x. the diagram is not to scale. 105° 72° x° 162 75 33 147

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. The exterior angle here is \(105^{\circ}\), and the two non - adjacent interior angles are \(72^{\circ}\) and \(x^{\circ}\). So, \(105 = 72+x\).

Step2: Solve for \(x\)

Subtract \(72\) from both sides of the equation \(105 = 72+x\). We get \(x=105 - 72\).
\(x = 33\)

Answer:

C. 33