Question

Please help me with my geometry

Answer 1

m∠E = 52°

Explanation:

You seem to want a step-by-step explanation of the logic to find the measure of angle E.

There are a number of approaches you might take to this. Here is one.

`\begin{array}{ccc}\text{Step}&\text{Angle}&\text{Reason}\\1&m\angle C=64^\circ&\text{Given}\\2&m\angle ADE=64^\circ&\textsf{Corresponding angles}\\3&m\angle DAB=64^\circ&\textsf{Alternate interior angles}\\4& m\angle DAE=64^\circ& \textsf{Angle bisector de}\textsf{finition}\\5& m\angle E=52^\circ&\textsf{Sum of angles in a triangle}\end{array}`

The measure of angle E is 52°.