Question

what is the value of angle b in the given figure below? o a. b = 62 o b. b = 72 o c. b = 82 o d. b = 52

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In a right - triangle, one angle is 90°. Let the given non - right angle be 28° and the unknown angle be \(b\).
So, \(90^{\circ}+28^{\circ}+b^{\circ}=180^{\circ}\).

Step2: Solve for \(b\)

First, simplify the left - hand side: \(118^{\circ}+b^{\circ}=180^{\circ}\). Then, subtract 118° from both sides: \(b^{\circ}=180^{\circ}-118^{\circ}\). So, \(b = 62^{\circ}\).

Answer:

A. \(b = 62\)