Question

Find the missing angles in the parallelogram

Answer 1

Answer:

The sum of co interior angles of parallelogram is 180

110° + x = 180°

110° + x = 180

x = 70°

x + (y + 40°) = 180°

70° + y + 40° = 180°

y = 180 - 110

y = 70°

The sum of all angles in trapezium is equal to 360°

110° + x + y + z = 360°

110° + 70° + 70° +z = 360°

z = 360° - 250°

z = 110°

Answer 2

Answer: angleZ is 40 degrees(alternate interior angles)

AngleY is 110-40(opposite angles of the parallelogram)=70 degrees

And AngleX is 360-(110+70+40)(sum of a quadrilateral)=360-220=140 degrees

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