Question

Describe and correct the error in using the diagram to find the value of x.

Answer 1

Explanation:

Hi there!

The error in using the diagram to find x in the solving is that they only picked two angles and equated to 180° which is wrong. You'll find out that their final value for x contains a decimal point which should never be in angles.

The above diagram is a revolution (360°) or angle at a point, so all the angles have to be considered and equated to 360° and NOT 180°

Below is the corrected solving.

`13x + 45 + 12x - 40 + 19x + 3 + 6x + 2 = 360`

(reason: angles at a point = 360°)

Collect like terms, and make x the subject of formula.

`⟹50x + 10 = 360`

`⟹50x = 360 - 10`

`⟹50x = 350`

Now, divide both sides by 50 to find the value of x.

`(50x)/(50) = (350)/(50)`

Therefore:

`x = 7`