Question

find the value of x. finding an angle measure of a triangle given two angles

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, \(37^{\circ}+66^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

\(37 + 66+x=180\), which gives \(103 + x=180\).

Step3: Solve for x

Subtract 103 from both sides: \(x=180 - 103\).

Answer:

74