Question

find the measure of angle 1. * 33° 57° 1 180 147 90

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.
Let the three angles of the triangle be \(A = 33^{\circ}\), \(B = 57^{\circ}\), and \(C=\text{angle }1\). Then \(A + B + C=180^{\circ}\).

Step2: Solve for angle 1

We can rewrite the equation as \(C = 180^{\circ}-(A + B)\). Substitute \(A = 33^{\circ}\) and \(B = 57^{\circ}\) into the equation.
\(C=180-(33 + 57)\)
\(C=180 - 90\)
\(C = 90^{\circ}\)

Answer:

90