Understanding quadrilaterals

Find the size of angle x

• 210^o

• 240^o

• 150^o

• 140^o

What is the measure of each angle in a square.

• 60 degrees

• 45 degrees

• 180 degrees

• 90 degrees

Answer explanation

In a square, each angle measures 90 degrees. This is because all four angles in a square are congruent and add up to 360 degrees.

In a quadrilateral, if one angle is 120° and the other three angles are each 90°, what is the measure of the missing angle?

• 30°

• 80°

• 60°

• 45°

What is the missing angle?

• $155\degree$

• $55\degree$

• $260\degree$

• $100\degree$

What is the value of x in the given figure?

• 90°

• 75°

• 120°

• 150°

Answer explanation

The sum of all angles of the quadrilateral = 360° Therefore, 75° + 90° + x + 120° = 360° i.e. x + 285° = 360° On transposing 285° to RHS of the equation, we get, x = 360° - 285° x = 75° Hence option 2 is the correct answer

Look at the quadrilateral. Find the measure of $\angle w$  

•  $180\degree$  

•  $34\degree$  

•  $24\degree$  

•  $90\degree$  

All Quadrilaterals have angles that add up too:

• 90°

• 180°

• 360°

• 45°

Consecutive angles in a parallelogram are always....

• Complementary

• Supplementary

• Congruent

• Unrelated

Is the quadrilateral a parallelogram?

• Yes, all angles add up to 360°

• No, all angles only add up to 252°

• Not enough information

Find the missing angle.

• 75

• 85

• 100

• 45