Question

Referring to the figure, find the value of x

Answer 1

Explanation:

By the triangle angle-sum theorem, all the angles of a triangle have to add up to equal 180°. Thus,

72° + 5x° + x° = 180° and

72° + 6x° = 180° and

6x° = 108° so

x = 18°

Answer 2

A scale of 1:50 000 means that every centimetre on the map is equal to 50 000 centimetres (500 metres) in reality.

The distance between two towns on that map is 6cm, therefore in reality there’s 6 * 50 000 = 300 000 centimetres, which is equal to 3 000 metres, which is equal to 3 kilometres.