Question

use the diagram to answer the question. what is the value of x? a. 25° b. 50° c. 55° d. 75° e. 80°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.
So, \(x + 25^{\circ}+105^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

\(x=180^{\circ}-(25^{\circ} + 105^{\circ})\)
\(x = 180^{\circ}-130^{\circ}\)
\(x = 50^{\circ}\)

Answer:

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