Question

ABCD is a parallelogram. Find the angle measure of X, Y and Z . State the properties used to find the measure

Pleass solve it..​

Answer 1

Step-by-step explanation:

y = 50 degree alternate interior angle

z= 30 degree angle sum property

x = 100 degree sum of adjacent angle is 180 degree

Answer 2

Step-by-step explanation:

∠B = 80° (Given)

∠CBA = 180° - 80° (Sum of angles on a Straight lines = 180°)

∴∠ CBA = 100°

∠DAB + ∠CBA = 180° (Sum of adjacent angles of a parallelogram= 180°)

∠DAB = 50° + z and ∠CBA = 100°

50° + z + 100° = 180°

150° + z = 180°

z = 180° - 150°

∴ z = 30°

Now ∠DAB = 50° + 30° = 80°

So, ∠CDA + ∠DAB = 180 °(Sum of adjacent angles of a parallelogram =180°)

∠CDA = x and ∠DAB = 80°

x + 80° = 180°

x = 180° - 80°

∴ x = 100°

y = 50° (Because of alternate angles with ∠DAC)

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