Angle facts

Question 1

What do angles on a straight line add up to?

Answer 1

180 degrees

Question 2

What do angles around a point add up to?

Answer 2

360 degrees

Question 3

What do the angles in a triangle add up to?

Answer 3

180 degrees

Question 4

What do the angles in a quadrilateral add up to?

Answer 4

360 degrees

Question 5

What name is given to a pair of angles like these?

Answer 5

Corresponding angles

Question 6

What name is given to a pair of angles like these?

Answer 6

Alternate angles

Question 7

What name is given to a pair of angles like these?

Answer 7

Supplementary or allied angles

Question 8

What name is given to a pair of angles like these?

Answer 8

Vertically opposite angles

Question 9

How are these angles related?

Answer 9

They are equal

Question 10

How are these angles related?

Answer 10

They are equal

Question 11

How are these angles related?

Answer 11

They sum to 180 degrees

Question 12

How are these angles related?

Answer 12

They are equal

Question 13

Find the missing angle and give a reason for your answer.

Answer 13

a = 100 degrees

Angles on a straight line add up to 180 degrees

Question 14

Find the missing angle and give a reason for your answer.

Answer 14

h = 60 degrees

Angles in an equilateral triangle are equal and sum to 180 degrees

Question 15

Find the missing angle and give a reason for your answer.

Answer 15

a = 70 degrees

Angles in a triangle add up to 180 degrees

Question 16

Find the missing angle and give a reason for your answer.

Answer 16

e = 33 degrees

Angles in a triangle add up to 180 degrees

Question 17

Find the missing angle and give a reason for your answer.

Answer 17

n = 145 degrees

Angles on a straight line add up to 180 degrees

Question 18

Find the missing angle and give a reason for your answer.

Answer 18

p = 34 degrees

Angles on a straight line add up to 180 degrees

Question 19

Find the missing angle and give a reason for your answer.

Answer 19

a = 63 degrees

Alternate angles

Question 20

Find the missing angle and give a reason for your answer.

Answer 20

b = 123 degrees

Corresponding angles

Question 21

Find the missing angle and give a reason for your answer.

Answer 21

e = 119 degrees

Corresponding angles

Question 22

Find the missing angle and give a reason for your answer.

Answer 22

a = 98 degrees

Supplementary angles

Question 23

Find the missing angle and give a reason for your answer.

Answer 23

e = 80 degrees

Angles around a point add up to 360 degrees

Question 24

Find the missing angle and give a reason for your answer.

Answer 24

f = 60 degrees

Angles around a point add up to 360 degrees

Question 25

Find the missing angle and give a reason for your answer.

Answer 25

a = 50 degrees

Angles in a quadrilateral add up to 360 degrees

Question 26

Find the missing angle and give a reason for your answer.

Answer 26

c = 130 degrees

Angles in a quadrilateral add up to 360 degrees

Question 27

Find the missing angles and give reasons for your answers.

Answer 27

h = 123 degrees

i = 57 degrees

Vertically opposite angles

Question 28

What is this angle called?

Answer 28

Interior angle (of a hexagon)

Question 29

What is this angle called?

Answer 29

Exterior angle (of a hexagon)

Question 30

Find the exterior and interior angles of a regular hexagon.

Answer 30

Exterior = 60 degrees

360/6 = 60

Interior = 120 degrees

180 - 60 = 120

Question 31

What is this type of angle called?

Answer 31

An acute angle

Question 32

What is this type of angle called?

Answer 32

An obtuse angle

Question 33

What is this type of angle called?

Answer 33

A right angle

Question 34

What is this type of angle called?

Answer 34

A reflex angle