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