Question

8. In each of the following figures AB||CD, find the values of x and y.​

Answer 1

Answer:

Draw a line GH parallel to AB and CD passing through E

∠GEA=∠EAB (Alternate angles)

∠GEA=65

∘

∠GEC=∠ECD (Alternate angles)

∠GEC=35

∘

∠CEA=∠GEA+∠GEC (From figure)

x=65

∘

+35

∘

=100

∘

Answer 2

Step-by-step explanation:

(a) 130° = y ( V. O. A)

50° + x = 180° ( linear pair)

=> x = 180°-50°

=> x = 130°

(b)

(2y - 4 °) + ( y -5°) = 180° ( CO interior angle)

3y - 9 = 180°

3y = 180 + 9

3y = 189

y= 63°

63° = x ( Corresponding angle)