The bisector of angle A in parallelogram ABCD meets DC at point E. Given angle A = 100°, the bisector makes angle DAE = 50° with AD. Since AB is parallel to DC, angle AED equals angle DAE (alternate angles). What is the measure of angle AED (in degrees)?

Question

Accepted Answer

50. Angle DAE = 100/2 = 50°. Since AB || DC, angle AED = angle BAE = 50 deg (alternate interior angles), which also makes triangle ADE isosceles with AD = DE.

The bisector of angle A in parallelogram ABCD meets DC at point E.
Given angle A = 100°, the bisector makes angle DAE = 50° with AD.
Since AB is parallel to DC, angle AED equals angle DAE (alternate angles).
What is the measure of angle AED (in degrees)?

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More Class 8 Properties of Parallelograms practice

The bisector of angle A in parallelogram ABCD meets DC at point E.Given angle A = 100°, the bisector makes angle DAE = 50° with AD.Since AB is parallel to DC, angle AED equals angle DAE (alternate angles).What is the measure of angle AED (in degrees)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Parallelograms practice

The bisector of angle A in parallelogram ABCD meets DC at point E.
Given angle A = 100°, the bisector makes angle DAE = 50° with AD.
Since AB is parallel to DC, angle AED equals angle DAE (alternate angles).
What is the measure of angle AED (in degrees)?