Question

In the diagram below, ABCD is a parallelogram, AB is extended through B to E, and CE is drawn.If CE is congruent to BE and m angle A=68°, what is m angle E ? (made some markings)

Answer 1

Answer:
`m\angle E=44^(\circ)`

Explanation:

`AD \parallel BC` (opposite sides of a parallelogram are parallel)

`m\angle CBE=68^(\circ)` (corresponding angles)

`m\angle BCE=68^(\circ)` (isosceles triangle)

`m\angle E=44^(\circ)` (sum of angles in a triangle)