Question

In ACDE, ECDE and m D = 11°. Find m_E.

Answer 1

Given the triangle CDE

`EC\cong DE`

So, it is an isosceles triangle

The vertex will be angle E

so, the measure of angle C = the measure of angle D

Given:

`\begin{gathered} m\angle D=11 \\ m\angle C=11 \end{gathered}`

The sum of the angles = 180

`\begin{gathered} m\angle E+m\angle C+m\angle D=180 \\ m\angle E+11+11=180 \\ m\angle E+22=180 \\ m\angle E=180-22 \\ \\ m\angle E=158 \end{gathered}`

So, the answer is the measure of angle E = 158