Question

in the adjoining diagram lines ab and CD intersect at O if angle 1 + angle 3 = 78 degree find the size of angle 2 .​

Answer 1

Answer:

∠2 = 141°

Step-by-step explanation:

Given, ∠1 + ∠3 = 78°

Also, ∠1 and ∠3 are vertically opposite angles.

∴ ∠1 = ∠3 = 78°/2 = 39°

Now, from the figure, ∠1 and ∠2 are linear pair,

∴ ∠1 + ∠2 = 180°

∴ 39° + ∠2 = 180°

∴ ∠2 = 180° - 39°

∴ ∠2 = 141°

Answer 2

Answer:

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