Question

6. ABCD is a parallelogram. Find the value of x, y and z​

Answer 1

Answer:

x=80°, y=70°, z=30°

Given:- ABCD is parallelogram

angle AOD is 100° (let the center be O)

To Find:- x,y,z.

Solution:-

Firstly AOC is a line

Therefore, angleAOB + angleBOC = 180°(angle sum property)

100 + x = 180°

x = 80°

Now, BOC is a triangle

Therefore, angleBOC + angleOBC + angleOCB = 180° (angle sum property)

80 + y + 30 = 180

y = 70°

Now, As AB and DC are parallel(parallelogram)

Therefore, BD is a transversal

Therefore, angleOBC = angleADO( alternate angles)

z = 30°

HOPE IT HELPS...