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Find Missing Angles Using Given Rules

In this worksheet, students will find missing angles in special triangles.

' Find Missing Angles Using Given Rules' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Apply the Properties of Angles

Difficulty level:  

Worksheet Overview

In this activity, we are going to be looking at angles in special triangles!

 

We know that:-   

 

 

We can use it to find missing angles in triangles!

 

triangle with missing angle

 

Answer

We know that the sum of the three angles is 180o

We can say that R = 180 - (25 + 96)

R = 180 - 121

R = 59o

 

There are two special triangles for us to consider.

 

1) The Equilateral Triangle

 

equilateral triangle

 

All the sides are the same length.

All the angles are the same.

 

 

2) Isosceles Triangle

 

isosceles triangle

 

Two of the sides are the same length. 

Two of the angles are the same

 

These facts help us to find missing angles in triangles.

 

Let's have a look at a question.

 

Example

Calculate the size of angle A in the isosceles triangle below.

 

isosceles triangle with one paired  angle 61 degrees

 

 

Answer

As the triangle is isosceles, we know that the two angles at the base are the same.

Therefore, angle A  also = 61o     

 

Let's try some mixed questions now!

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