Question

1. what is the value of x? a. 33 b. 75 c. 147 d. 162

Explanation:

Step1: Find the adjacent angle of \(105^{\circ}\)

The adjacent angle of \(105^{\circ}\) is \(180 - 105=75^{\circ}\) (supplementary angles).

Step2: Use the triangle angle - sum property

In a triangle, the sum of interior angles is \(180^{\circ}\). Let the three angles of the triangle be \(x^{\circ}\), \(72^{\circ}\), and \(75^{\circ}\). Then \(x + 72+75 = 180\).

Step3: Solve for \(x\)

\(x=180-(72 + 75)=180 - 147=33\)

Answer:

A. 33