Question

The figure below is not drawn to scale. ABCD is a parallelogram, Find

LAEB and L CDE.
A
B

Answer 1

`\angle BAD=100^(\circ)` (opposite angles in a parallelogram)

`\angle EAD=80^(\circ)` (subtraction)

`\angle ADE=65^(\circ)` (angles in a triangle add to 180 degrees)

`\angle CDA=80^(\circ)` (adjacent angles in a parallelogram are supplementary)

`\boxed{\angle CDE=15^(\circ)}` (subtraction)

`\angle CED=65^(\circ)` (angles in a triangle add to 180 degrees)

`\boxed{\angle AEB=80^(\circ)}` (angles on a straight line add to 180 degrees)