Question

two angles in a triangle measure 47° and 88°. what is the measure of the third angle?

Explanation:

Step1: Recall angle - sum property

The sum of angles in a triangle is 180°.

Step2: Set up the equation

Let the third angle be \(x\). Then \(x + 47^{\circ}+88^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\(x=180^{\circ}-(47^{\circ} + 88^{\circ})=180^{\circ}-135^{\circ}=45^{\circ}\)

Answer:

45