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 triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This is a right - triangle, so \(\angle C = 90^\circ\), and we know \(\angle A=45^\circ\). Let the unknown angle be \(\angle B\).

Step2: Calculate the unknown angle

Using the formula \(\angle A+\angle B+\angle C = 180^\circ\), substitute \(\angle A = 45^\circ\) and \(\angle C=90^\circ\) into the formula:
\(45^\circ+\angle B + 90^\circ=180^\circ\)
First, simplify the left - hand side: \(135^\circ+\angle B=180^\circ\)
Then, solve for \(\angle B\): \(\angle B=180^\circ - 135^\circ=45^\circ\)

Answer:

\(45\)