Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 2 x = submit answer

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(45^\circ + 75^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(45^\circ\) and \(75^\circ\): \(45 + 75 = 120\). So, \(120^\circ + x^\circ = 180^\circ\).

Step3: Solve for x

Subtract \(120^\circ\) from \(180^\circ\): \(x = 180 - 120 = 60\).

Answer:

\(x = 60\)