Maths-

General

Easy

Question

# Line t is a transversal that cuts parallel lines l and m. Express each angle in terms of x.

Hint:

**find the relations of all angles using corresponding angles and vertically opposite angles property and express each angle in terms of x. **

## The correct answer is: ∠2 =∠4 =∠6 =∠8 = 180 °-x and ∠1 =∠3 = ∠5 = x .

### 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 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

Therefore we get ∠2 =∠4 =∠6 =∠8 = 180 °-x and ∠1 =∠3 = ∠5 = x

### Related Questions to study

Maths-

Are angles 1 and 2 supplementary? Justify your answer.

Are angles 1 and 2 supplementary? Justify your answer.

Maths-General

Maths-

### True or False? Justify your answer.

Transversal can touch parallel or non-parallel lines.

### True or False? Justify your answer.

Transversal can touch parallel or non-parallel lines.

Maths-General

Maths-

Angles 2 and 7, angles 3 and 6, angles are examples of ______.

Angles 2 and 7, angles 3 and 6, angles are examples of ______.

Maths-General

Maths-