Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. marcus has measured two interior angles of a triangle to be 16° and …

Question

  1. marcus has measured two interior angles of a triangle to be 16° and 92°. what is the measure of the third angle of the triangle? move the correct answer to the box. not all answers will be used. the third angle is

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up the equation

Let the third angle be \(x\). Then \(16^{\circ}+92^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

\(x=180^{\circ}-(16^{\circ} + 92^{\circ})=180^{\circ}-108^{\circ}=72^{\circ}\)

Answer:

\(72^{\circ}\)