In the figures AB // CD. Find the values of x in each case. – InterviewSolution

1.

In the figures AB // CD. Find the values of x in each case.

Answer»

Draw a line ‘l’ parallel to AB and CD through F.

a + 104° = 180° ⇒ a = 180° – 104° = 76°

b+ 116° = 180° ⇒ -b = 180°- 116° = 64°

[∵ interior angles on the same side]

∴ a + b = x = 76° + 64° = 140°

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