Question

from the diagram shown, find the measurement of the indicated angle.
a. x = 140°
b. x = 50°
c. x = 60°
d. x = 70°
e. x = 90°

Explanation:

Step1: Recall angle - sum property of a triangle

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

Step2: Identify known angles

One angle is 40° and another is 90° (right - angle).

Step3: Set up equation

Let the unknown angle be \(x\). Then \(40^{\circ}+90^{\circ}+x = 180^{\circ}\).

Step4: Solve for \(x\)

\(x=180^{\circ}-(40^{\circ} + 90^{\circ})=180^{\circ}-130^{\circ}=50^{\circ}\).

Answer:

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