Question

in fig. ABCD is a parallelogram .Find the values of x,y and z​

Answer 1

Answer:

X = 10, Y=50 and Z = 120

Step-by-step explanation:

∠ABC + ∠CBE = 180 [ Linear Pair]

∠ABC = 180 - 60 = 120

Now, as the opposite angles in a parallelogram are equal,

Z = ∠ABC

Z = 120

In triangle ADC,

∠DAB + ∠ACD + Z = 180 [ Linear Pair ]

50 + ∠ACD + 120 = 180

∠ACD = 10

Now,

∠CBE = ∠DCB [ Alternate Interior Angles]

∠DCB = 60

Also, ∠DCB = ∠ACD + Y

60 = 10 + Y

Y = 50

And, In tringle ABC,

X + Y + ∠ABC = 180 [ Linear Pair]

X + 50 + 120 = 180

X = 10

Hence, X = 10, Y=50 and Z = 120

Please mark me as brainliest.