Maths-

General

Easy

Question

If x = 60°angle, find the measure of each of the other angles.

Hint:

### find the relations of all angles using corresponding angles and vertically opposite angles property and express each angle in terms of x. Now, substitute the value of x to get all values of angles.

## The correct answer is: ∠2 =∠4 =∠6 =∠8 = 120 °and ∠1 =∠3 = ∠5 = 60°

### Explanation :-

As we know corresponding angles are equal then

we get ∠1 =∠3 , ∠2 =∠4, x =∠5 and ∠6=∠8

As we know vertically opposite angles are equal

we get ∠1 = x , ∠2=∠8, ∠3 =∠5 and ∠4 =∠6

From above equations we get ∠1 =∠3 = ∠5 = x = 60 °and ∠2 =∠4 =∠6 =∠8

As we know, the sum of angles in a straight line is 180° . We get

∠2+x = 180 then ∠2 = 180 °-x

∠2 = 180 °- 60 °

∠2 = 120 °

Therefore we get ∠2 =∠4 =∠6 =∠8 = 120 ° and ∠1 =∠3 = ∠5 = 60 °

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