Question

find the measure of the interior angle at i using the diagram below.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

Let the angle at \(I\) be \(x\). Then \(x + 62^{\circ}+44^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\(x=180^{\circ}-(62^{\circ} + 44^{\circ})\)
\(x = 180^{\circ}-106^{\circ}\)
\(x = 74^{\circ}\)

Answer:

\(74^{\circ}\)