Mastering Parallelograms: Angles & Area Challenges

A parallelogram has one angle measuring 70 degrees. What is the measure of the opposite angle?

• 60 degrees

• 70 degrees

• 90 degrees

• 80 degrees

In a parallelogram, one angle measures 120 degrees. What are the measures of the other three angles?

• 180 degrees, 0 degrees, 0 degrees

• 90 degrees, 90 degrees, 90 degrees

• 120 degrees, 60 degrees, 60 degrees

• 120 degrees, 120 degrees, 120 degrees

A garden is shaped like a parallelogram with a base of 10 meters and a height of 5 meters. What is the area of the garden?

• 50 square meters

• 40 square meters

• 30 square meters

• 60 square meters

If a parallelogram has adjacent angles measuring 65 degrees and x degrees, what is the value of x?

• 75 degrees

• 100 degrees

• 90 degrees

• 115 degrees

A parallelogram has sides measuring 8 cm and 10 cm. If the angle between the sides measuring 8 cm is 45 degrees, what is the area of the parallelogram?

• 50 cm²

• 80 cm²

• 40√2 cm²

• 20√2 cm²

In a parallelogram, the measure of one angle is three times the measure of its adjacent angle. What are the measures of both angles?

• 45 degrees and 135 degrees

• 90 degrees and 90 degrees

• 60 degrees and 120 degrees

• 30 degrees and 150 degrees

A parallelogram has a perimeter of 48 cm. If one side measures 12 cm, what is the length of the other side?

• 10 cm

• 14 cm

• 16 cm

• 12 cm

If the diagonals of a parallelogram intersect at an angle of 30 degrees, what is the measure of the angle formed by the adjacent sides at that intersection?

• 60 degrees

• 30 degrees

• 45 degrees

• 90 degrees

A parallelogram has an area of 60 square meters and a base of 12 meters. What is the height of the parallelogram?

• 4 meters

• 6 meters

• 8 meters

• 5 meters

In a parallelogram, if one angle is 40 degrees, what are the measures of the other three angles?

• 40 degrees, 100 degrees, 100 degrees

• 40 degrees, 140 degrees, 140 degrees

• 30 degrees, 150 degrees, 150 degrees

• 60 degrees, 120 degrees, 120 degrees