Question

(a) The diagram shows four angles around a point

1. Write down an equation in x and y
2. Simplify your equation
3.Find y when x=65°

Answer 1

Explanation:

The degrees around a point = 360, so

1. x + 95 + 3y + 80 = 360 so

2. x + 3y = 185

3. 65 + 3y = 185 and

3y = 120 so

y = 40

Answer 2

y=40

Explanation:

sum of all 3 angles : 240

3y+240=360

3y=360-240=120

y=3÷120

y=40