Question

Asked By BlueHorizon49 at

Answered By Expert

Leroy

Expert · 3.2k answers · 3k people helped

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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