Question

in this section, youll solve problems involving geometric measurements.
you start streaming live content from the taco truck to increase interest in your menu offerings. before you go live, you need to plan your setup to ensure proper lighting and a clear view of the food preparation area.
youre setting up your streaming lights, and the frame holding the lights forms a triangular support. two angles of the triangle measure 50° and 60°. whats the measure of the third angle?
80°
100°
60°
70°

Explanation:

Step1: Recall angle - sum property

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

Step2: Solve for the third angle

We can find \(C\) by substituting the known values into the formula: \(C=180^{\circ}-A - B\).
Substitute \(A = 50^{\circ}\) and \(B = 60^{\circ}\) into the formula: \(C=180^{\circ}-50^{\circ}-60^{\circ}=70^{\circ}\).

Answer:

D. \(70^{\circ}\)