Question

two angles in a triangle measure 33° and 112°. what is the measure of the third angle? 215° 35° 145° 55°

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(A\), \(B\), and \(C\). So, \(A + B + C=180^{\circ}\).

Step2: Substitute the known angles

We know \(A = 33^{\circ}\) and \(B = 112^{\circ}\). Substitute these values into the formula: \(33^{\circ}+112^{\circ}+C = 180^{\circ}\).

Step3: Solve for \(C\)

First, calculate \(33^{\circ}+112^{\circ}=145^{\circ}\). Then, \(C=180^{\circ}-145^{\circ}\). So, \(C = 35^{\circ}\).

Answer:

\(35^{\circ}\)