Answer :

In the above figure,

∠ a and ∠ 3 form a linear pair and hence their sum has to be 180°.

So ∠ 2 + ∠ 3 = 180°

Given, ∠1 + ∠2 + ∠3 = 230°

∠1 + 180° = 230°

∠ 1 = 230 – 180

∠ 1 = 50°.

∠ 1 + ∠ 2 = 180° as they form linear pair.

So ∠ 2 = 180 – 50

∠ 2 = 130°

So ∠ 4 = ∠ 2 = 130° as they are vertically opposite angles.

So ∠ 1 = 50° and ∠ 4 = 130°.

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