Harder Angles on Parallel Lines

Geometrical calculations can get more complicated than one or two step problems.  

Apart from knowing all the geometrical relationships and properties that we have already covered: (quadrilaterals, triangles  , angles and parallel lines ) there are a number of strategies you can use to solve more complex geometrical angle and length problems.

• start with a sketch and fill in everything that you know, by applying the rules you know one a time.  You will gradually work towards the final solution - it may be a longer route, but you will still get there in the end
• Have a look at identifying a path from information you are given to the variable you are trying to find, sometimes this gives you an idea about the angles you may need to find along the way
• If all else fails, look at the information you are given and work through some of the most common rules first, X, U, Z, F and see if using either of those rules helps you towards the variables you are trying to find

Lets check out these techniques in action with some worked examples.

Examples

Question 1

Question 2

Question 3