Solve for the unknown angles. Justify your answers with steps (do not just provide answers)

Mathematics

1 answer:

AnnyKZ [126]3 years ago

3 0

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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