Question

1. if one interior angle of a triangle is 50 degrees and another is 60 degrees, what is the measure of the third angle? 60 degrees 80 degrees 50 degrees 70 degrees

Explanation:

Step1: Recall the sum of interior angles of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(A = 50^{\circ}\), \(B=60^{\circ}\), and \(C\) (the unknown angle). Then \(A + B + C=180^{\circ}\).

Step2: Solve for the unknown angle \(C\)

Substitute \(A = 50^{\circ}\) and \(B = 60^{\circ}\) into the formula \(C=180^{\circ}-(A + B)\). So \(C = 180^{\circ}-(50^{\circ}+60^{\circ})\). First, calculate \(50^{\circ}+60^{\circ}=110^{\circ}\). Then \(C=180^{\circ}-110^{\circ}=70^{\circ}\).

Answer:

70 degrees