Question

Work out the angles marked x in each diagram you must show your working

Answer 1

x = 125°

Explanation:

Since ∆ ABC is a triangle the sum of it's angles add up to 180°

In order to find x we must first find
`\angle` AED

Let
`\angle` AED = E

To find
`\angle` AED add up all the angles in the triangle and equate it to 180°

That's

35 + 90 + E = 180

125 + E = 180

E = 180 - 125

E = 55°

E and x lie on a straight line

So we have

x + 55 = 180°

x = 180 - 55

x = 125°

Hope this helps you