Angles - triangle

Find the measure of the angles of the triangle ABC if: the measure of angle A is the measure of angle C and the measure of angle B =½ of the measure of angle C.

Final Answer:

A =  72 °
B =  36 °
C =  72 °

Step-by-step explanation:

$$\begin{gathered} A=C \\ B=C/2 \\ A+B+C=180{}^{\circ } \\ A+A/2+A=180 \\ 5A=360 \\ A=\frac{360}{5}=72 \\ A=72=72^{\circ } \end{gathered}$$

$B=A/2=72/2=36^{\circ }$

$C=A=72=72^{\circ }$

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