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In CDE, EC =DE and m

User Olotiar
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Since, as you have noticed, the triangle is isosceles, then the angles C and D have the same measure. Besides, the sum of the interior angles of a triangle is 180 degrees, so we have the next equation


\begin{gathered} m\angle C+m\angle D+m\angle E=180 \\ m\angle C=m\angle D \\ \text{Then} \\ m\angle E=180-m\angle C-m\angle D=180-2(m\angle D) \\ m\angle E=180-2(11)=180-22 \\ m\angle E=158\mathring{\text{ }} \end{gathered}

In conclusion, the measure of the angle E is 158 degrees.

In CDE, EC =DE and m-example-1
User Elmazzun
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