Question

find the measure of angle x in the triangle with two angles of 45° each (as shown in the image: a triangle with base angles 45° and vertex angle x).

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Calculate \(x\)

Let the angles be \(45^\circ\), \(45^\circ\), and \(x\). So, \(45^\circ + 45^\circ + x = 180^\circ\). Simplify: \(90^\circ + x = 180^\circ\). Subtract \(90^\circ\) from both sides: \(x = 180^\circ - 90^\circ = 90^\circ\).

Answer:

\(x = 90^\circ\)