Question

Find the measure of the numbered angles for the parallelogram for number one!

Answer 1

Consecutive angles of a parallelogram are supplementary, therefore:

Angle 3 + 110° = 180°

 

Subtract 110° from both sides of the equation

Angle 3 + 110° – 110° = 180° – 110°

Angle 3 = 70°

 

Opposite angles of a parallelogram are congruent, therefore:

Angle 2 = 110°

 

Angle 1 = Angle 3

Since Angle 3 = 70°

Angle 1 = 70°

 

Summarily,

Angle 1 = 70°

Angle 2 = 110°

Angle 3 = 70°