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Solution: Step 1. Find the third angle measure. \[ \begin{array}{cl} \angle A+\angle B+\angle C=180^{\circ} & \text { Definition of Triangle Sum Theorem } \\ 48^{\circ}+52^{\circ}+\angle C=180^{\circ} & \text { Substitute the given values of } \angle A \text { and } \angle B . \\ 100^{\circ}+\angle C=180^{\circ} & \text { Add the two given angles. } \\ \angle C=180^{\circ}-100^{\circ} & \text { Addition Property of Equality } \\ \angle C=80^{\circ} & \text { Simplify. } \end{array} \]

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Leroy

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Solution By Steps

Step 1: Find the third angle measure

\begin{array}{cl}

\angle A+\angle B+\angle C=180^{\circ} & ext { Triangle Sum Theorem } \\

48^{\circ}+52^{\circ}+\angle C=180^{\circ} & ext { Substitute } \angle A ext { and } \angle B \\

100^{\circ}+\angle C=180^{\circ} & ext { Add the angles } \\

\angle C=180^{\circ}-100^{\circ} & ext { Subtraction } \\

\angle C=80^{\circ} & ext { Final angle measure }

\end{array}

Final Answer

The measure of angle C is

80^{\circ}.

Key Concept

Triangle Sum Theorem

Key Concept Explanation

In a triangle, the sum of all interior angles is always equal to 180 degrees.

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