27mana 27mana
  • 24-10-2020
  • Mathematics
contestada

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

AB, CD , and EF are straight lines.

Find x and y Give reasons to justify your solutionAB CD and EF are straight lines class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 05-11-2020

Answer:

  • x = 15.6°, y = 14°

Step-by-step 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°
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