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 the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Calculate the third angle

Let the third angle be \(x\). Then \(x = 180^{\circ}-(50^{\circ}+60^{\circ})\).
First, calculate \(50^{\circ}+60^{\circ}=110^{\circ}\).
Then \(x = 180^{\circ}-110^{\circ}=70^{\circ}\).

Answer:

\(70^{\circ}\) (the fourth option)