Question

question 23 of 45 in the figure below, what is the value of x? a. 75 b. 62 c. 43 d. 180

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°.

Step2: Set up the equation

Let the three angles of the triangle be 43°, 75°, and \(x\). So, \(43 + 75+x=180\).

Step3: Solve for \(x\)

First, add 43 and 75: \(43 + 75=118\). Then the equation becomes \(118 + x=180\). Subtract 118 from both sides: \(x=180 - 118\). So, \(x = 62\).

Answer:

B. 62°