Question

Find x and y. Give reasons to justify your solution.

AB, CD , and EF are straight lines.

Answer 1

• x = 15.6°, y = 14°

Explanation:

From the picture we can see that:

• ∠COE and ∠DOF are vertical angles as formed by intersection of lines CD and EF, so these angles are equal
• MO⊥AB as ∠MOB = 90°, therefore ∠AOM = 90°

Considering the above we get below to find x:

• 12° + 2x + 3x = 90°
• 5x = 90° - 12°
• 5x = 78°
• x = 78°/5
• x = 15.6°

And using this to find y:

• 48° + 3y = 90°
• 3y = 90 - 48
• 3y = 42°
• y = 42°/3
• y = 14°