topic badge

12.05 Angles within triangles

Worksheet
Angle sum of a triangle
1

Find the value of x in the following diagrams:

a
b
c
d
e
f
g
h
i
j
k
2

Consider the following diagram:

a

Find the value of x.

b

Find the value of y.

Types of triangles
3

Identify the following triangles as either acute, obtuse, or right-angled:

a
b
c
d
e
f
g
4

For the following triangles:

i

Find the value of x.

ii

Hence or otherwise, classify the triangle.

a
b
5

Consider the given triangle:

a

Find the value of x.

b

Find the size of \angle CAB.

c

Find the size of \angle ABC.

d

Find the size of \angle BCA.

e

Hence, state which side is the longest side of the triangle.

6

Consider the figure shown:

a

State what type of triangle the outer triangle is.

b

Find the value of a.

c

Find the value of b.

7

Consider the figure shown:

a

Find the value of a.

b

Hence, find the value of b.

8

Consider the figure shown:

a

Find the value of x.

b

Hence, find the value of m.

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

MA4-17MG

classifies, describes and uses the properties of triangles and quadrilaterals, and determines congruent triangles to find unknown side lengths and angles

MA4-18MG

identifies and uses angle relationships, including those related to transversals on sets of parallel lines

What is Mathspace

About Mathspace