Question

The quadrilateral is a parallelogram. Find the measure of angles 1, 2, and 3.

80⁰

Angle 1 measures_____
degrees, angle 2 measures_____
degrees, and angle 3 measures_____
degrees._____

Answer 1

Answer: Angle 1=100

Angle 2=80

Angle 3=100

Explanation:

Angle 1=Angle 3 ==> opposite angles in quadrilaterals are equal

Angle 2=80 ==> opposite angles in quadrilaterals are equal

Angle 1+Angle 2+Angle 3+80=360 ==> quadrilaterals with 4 sides add up to 360 degrees.

Angle 1+Angle 2+Angle 3+80-80=360-80

Angle 1+Angle 2+Angle 3=280

Angle 1+80+Angle 3=280

Angle 1+80-80+Angle 3=280-80

Angle 1+Angle 3=200

Angle 1+Angle 1=200 ==> Angle 1=Angle 3

Angle 1 * 2=200

Angle 1=100

Angle 3=100