Parallelogram Properties Understanding

The maximum number of obtuse angles a parallelogram can have is ___

• 1

• 2

• 3

• 4

Answer explanation

Opposite angles of a parallelogram are equal. If there is one obtuse angle, the opposite angle is also obtuse angle. Since the sum of adjacent angles is 180°. hence the adjacent angle of the obtuse angle must be an acute angle. That means a parallelogram can have at most two obtuse angles.

Tags

CCSS.HSG.C.A.3

Take two identical set squares with angles 30° - 60° - 90°. Try to make parallelogram using them. How many unique parallelograms can you make with the two identical set squares?

• Infinite

• 1

• 2

• 3

Answer explanation

It is possible to make three unique parallelograms using two identical set squares each having angles 30°-60°-90°. They can be arranged as shown in the figure.

Tags

CCSS.5.G.B.4

If two adjacent angles of a parallelogram are (5x – 5) and (10x + 35), then the ratio of these angles is

• (a) 1 : 3

• (b) 2 : 3

• (c) 1 : 4

• (d) 1 : 2

Tags

CCSS.HSG.CO.C.11

If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are

• (a) 72°, 108°

• (b) 36°, 54°

• (c) 80°, 120°

• (d) 96°, 144°

Tags

CCSS.HSG.CO.C.11

ABCD is a parallelogram. Find the values of x, y and z.

• 80⁰,70⁰,30⁰

• 80⁰,40⁰,50⁰

• 100⁰,70⁰,40⁰

• 60⁰,70⁰,30⁰

Tags

CCSS.HSG.CO.C.11

If ∠A and ∠C are two opposite angles of a parallelogram, then:

• ∠A > ∠C

• ∠A = ∠C

• ∠A < ∠C

• None of the above

Tags

CCSS.HSG.C.A.3

• a

• b

• c

• d

Tags

CCSS.HSG.CO.C.11

• a

• b

• c

• d

Tags

CCSS.HSG.CO.C.11

In a parallelogram PQRS, if = 60°, then other three angles are

• (a) 45°, 135°, 120°

• (b) 60°, 120°, 120°

• (c) 60°, 135°, 135°

• (d) 45°, 135°, 135°

Tags

CCSS.HSG.CO.C.11

Find the values of x and y in the following parallelogram.

• 20⁰

• 30⁰

• 40⁰

• 50⁰

Tags

CCSS.HSG.CO.C.11