chloedave83
chloedave83 chloedave83
  • 16-07-2021
  • Mathematics
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Solve for the unknown angles. Justify your answers with steps (do not just provide answers)

Solve for the unknown angles Justify your answers with steps do not just provide answers class=

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HJYMegan
HJYMegan HJYMegan
  • 16-07-2021

Answer:

Angle XYV= 120 degrees

Step-by-step explanation:

Remember that interior angles in a quadrilateral= 360 degrees and angles on a straight line= 180 degrees

angleWXY + angleYXV =180 degrees (angles on a straight line)

hence, 3x + x= 4x, 4x=180

x=45

angleYXZ + angleXYV + angleYVZ + angleVZX = 360 degrees(angle sum of quadrilateral)

hence, x+ angleXYV + 3x + 60 = 360

4x + angleXYV = 360

sub x= 45

angleXYV = 360-4(45)

=120

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