Question

PAGE NO.:
DATE:
find the value of x. y z in
the given figure if ABCD is a parallelogram
​

Answer 1

Answer:

x=40°, y=40° and z=40°

Step-by-step explanation:

In quad. ABCD

CF ⊥ AD and CE ⊥ AB

∴ in ΔCEB

by angle sum property

∠CEB + ∠ECB + ∠EBC = 180°

50° + 90° + x = 180°

X = 40°

in a parallelogram opposite angles are equal.

∴ ∠CBA = ∠CDA = 40°

Z = 40°

in tri. DFC, by angle sum property

∠FDC + ∠FCD + ∠DFC = 180°

40° + ∠FCD + 90° = 180°

∠FCD = 50°

in a parallelogram adjecent angles are supplementary

∠ACD + ∠DCB = 180°

40° + ∠DCB = 180°

∠DCB = 140°

∠DCB = ∠FCD + ∠FCE + ∠ECB

140 = 50 + y + 50

Y=40°