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

Vertically opposite angles

Question 6

How are these angles related?

Answer 6

They are equal

Question 7

How are these angles related?

Answer 7

They are equal

Question 8

How are these angles related?

Answer 8

They sum to 180 degrees

Question 9

How are these angles related?

Answer 9

They are equal

Question 10

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

Answer 10

a = 100 degrees

Angles on a straight line add up to 180 degrees

Question 11

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

Answer 11

h = 60 degrees

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

Question 12

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

Answer 12

a = 70 degrees

Angles in a triangle add up to 180 degrees

Question 13

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

Answer 13

e = 33 degrees

Angles in a triangle add up to 180 degrees

Question 14

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

Answer 14

n = 145 degrees

Angles on a straight line add up to 180 degrees

Question 15

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

Answer 15

p = 34 degrees

Angles on a straight line add up to 180 degrees

Question 16

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

Answer 16

a = 63 degrees

Alternate angles

Question 17

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

Answer 17

b = 123 degrees

Corresponding angles

Question 18

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

Answer 18

e = 119 degrees

Corresponding angles

Question 19

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

Answer 19

a = 98 degrees

Supplementary angles

Question 20

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

Answer 20

e = 80 degrees

Angles around a point add up to 360 degrees

Question 21

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

Answer 21

f = 60 degrees

Angles around a point add up to 360 degrees

Question 22

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

Answer 22

a = 50 degrees

Angles in a quadrilateral add up to 360 degrees

Question 23

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

Answer 23

c = 130 degrees

Angles in a quadrilateral add up to 360 degrees

Question 24

Find the missing angles and give reasons for your answers.

Answer 24

h = 123 degrees

i = 57 degrees

Vertically opposite angles

Question 25

What is this angle called?

Answer 25

Interior angle (of a hexagon)

Question 26

What is this angle called?

Answer 26

Exterior angle (of a hexagon)

Question 27

Find the exterior and interior angles of a regular hexagon.

Answer 27

Exterior = 60 degrees

360/6 = 60

Interior = 120 degrees

180 - 60 = 120

Question 28

What is this type of angle called?

Answer 28

An acute angle

Question 29

What is this type of angle called?

Answer 29

An obtuse angle

Question 30

What is this type of angle called?

Answer 30

A right angle

Question 31

What is this type of angle called?

Answer 31

A reflex angle