Question

the measures of the angles of a triangle are shown in the figure below. solve for x. 65° 41° 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, \(41 + 65 + x = 180\).

Step2: Calculate sum of known angles

Add \(41\) and \(65\): \(41 + 65 = 106\).

Step3: Solve for x

Subtract \(106\) from \(180\): \(x = 180 - 106 = 74\).

Answer:

\(x = 74\)