Question

question 3 of 10
what is the value of x?
a. 95°
b. 105°
c. 75°
d. 35°

Explanation:

Step1: Recall the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, if the angles of the triangle are \(35^{\circ}\), \(70^{\circ}\), and \(x^{\circ}\), then \(35 + 70+x=180\).

Step2: Solve the equation for \(x\)

First, calculate \(35 + 70\): \(35+70 = 105\). Then the equation becomes \(105+x=180\). Subtract \(105\) from both sides: \(x=180 - 105\).

Answer:

\(x = 75^{\circ}\), so the answer is C.