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Worksheets

Finding Missing Angles and Using Ratios in Triangles

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Find the measure of the missing angle.

a)

90o

b)

100

c)

130o

d)

50o

2.

Solve for x.

a)

16

b)

11

c)

50

d)

6

3.

If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...

a)

80

b)

100

c)

60

d)

90

4.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

5.

What do the angles in an equilateral triangle measure?

a)

30, 60, 90

b)

45, 45, 90

c)

60, 60, 60

d)

35, 55, 90

6.

Find the missing angle.  Find x.

a)

20o

b)

70o

c)

160o

d)

180o

7.

Choose the correct technique to find the missing angle (theta = θ)

a)

Pythagoras Theorem

b)

Trigonometry Ratio

c)

Sine Rule

d)

Cosine Rule

8.

Based on the math work in the picture, what problem has been solved?

a)

Finding a side using sine rule

b)

Finding an angle using sine rule

c)

Finding a side using cosine rule

d)

Finding an angle using cosine rule

9.

What is the cosine rule used for in non-right triangles?

a)

To calculate the area of non-right triangles.

b)

The cosine rule is used to find unknown sides or angles in non-right triangles.

c)

To determine the perimeter of any triangle.

d)

To find the height of a triangle.

10.

Choose the correct technique to find the missing side of this triangle

a)

Pythagoras Theorem

b)

Trigonometry Ratio

c)

Sine Rule

d)

Cosine Rule

11.

What is the tangent ratio in a right triangle?

a)

tangent = opposite / adjacent

b)

tangent = adjacent / hypotenuse

c)

tangent = opposite / hypotenuse

d)

tangent = hypotenuse / adjacent

12.

The Sine Rule requires which of the following to solve for a side or an angle?

a)

Two angles and one side.

b)

All the sides and a 90˚ angle.

c)

Only a pair of angle and its opposite side.

d)

Two sides with an angle in between.

13.

What are the techniques that you need to find the missing side?

a)

Trigonometry Ratios and Sine Rule

b)

Trigonometry Ratios and Cosine Rule

c)

Pythagoras and Sine Rule

d)

Pythagoras and Cosine Rule

14.
a)
65o
b)
30o
c)
115o
d)
180o
15.
a)
65o
b)
115o
c)
30o
d)
90o
16.

Q1. What is the temperature?

a)

1) 41°

b)

A) 65°

c)

2) 102°

d)

3) 115°

17.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

18.

Find the measure of the missing angle.

a)

139°

b)

66°

c)

138°

d)

116°

19.

A triangle's angles add up to...

a)

90 Degrees

b)

180 Degrees

c)

360 Degrees

d)

OVER 9000 Degrees

20.

Name the angles from LARGEST to SMALLEST

a)

R, S, T

b)

S, T, R

c)

S, R, T

d)

T, S, R