Question

find the unknown angle in the figure given below and type your result in the empty box provided below. answer: degrees

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. In triangle ABC, we know that ∠C = 90° and ∠A=45°. Let the unknown angle be ∠B.
So, ∠A + ∠B+∠C = 180°.

Step2: Substitute known values

Substitute ∠A = 45° and ∠C = 90° into the equation: 45°+∠B + 90°=180°.

Step3: Solve for ∠B

First, simplify the left - hand side: 135°+∠B = 180°. Then, subtract 135° from both sides: ∠B=180° - 135° = 45°.

Answer:

45