Question

angles of triangles practice
complete this assessment to review what youve learned. it will not count toward your grade.
if a triangle has a 32° angle and a 67° angle, what is the measurement of the third angle?
(1 point)

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 \(A = 32^{\circ}\), \(B=67^{\circ}\), and \(C\) (the unknown angle). Then \(A + B + C=180^{\circ}\).

Step2: Solve for the unknown angle

We can rewrite the formula as \(C = 180^{\circ}-(A + B)\). Substitute \(A = 32^{\circ}\) and \(B = 67^{\circ}\) into the formula: \(C=180^{\circ}-(32^{\circ}+67^{\circ})\). First, calculate \(32^{\circ}+67^{\circ}=99^{\circ}\). Then \(C = 180^{\circ}-99^{\circ}\).

Answer:

\(81\)