M10 | Maths Made Easy

M10

Question: Find the size of the angle marked z

 

Answer: The angles in the diagram go all the way around a point, so they must add up to 360\degree. One of the angles doesn’t have a measurement, but it is marked with a square which means it’s a right angle ( 90\degree )

We can write the following equation:

63+57+62+68+90+z=360

Then we just simplify it by adding together the number on the left hand side:

340+z=360

Then subtract 340 from both sides of the equation to give us the answer:

z=20\degree