# Trigonometry/Exercise: Chasing Angles

### Video Links[edit | edit source]

The **Khan Academy** has video material that walks through two very similar exercises to these, which you may find easier to follow:

## The Angle Game 1[edit | edit source]

Worked Example 1: Missing Angle - In the diagram above, the two lines marked with arrows are parallel. You are given the angle of 56
^{o}and of 115^{o}. Find the angle x.
The angle is the same as the 56 The angle is 180 We can now redraw the diagram with the angles as follows: We have a triangle with angles x, 56 x+56 x+121 x=59 |

## The Angle Game 2[edit | edit source]

Worked Example 2: Missing Angle in a Star - In the diagram above two angles are marked as 75
^{o}and one as 101^{o}. Find the angle c.
There is an isosceles triangle with angles 75 b+75 b+150 b=30
The angle 'c' is an angle in triangle . The other two angles are 30 c+30 c+131 c= 49 |