Question

Q1. Give answers on the basis of figure given below:
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Answer 1

$\sf\huge\bold{Answer:}$

Given :

L||m and n is the transversal line

To find :

Name the pairs of angles :

1. Pairs of Corresponding angles.
2. Vertically opposite angles.
3. Pairs of alternate angles.

Fill in the blanks :

If lines intersected by transversal are parallel, then

1. ∠3=∠...(corresponding angles)
2. ∠4=∠6,because...
3. ∠3+∠6=...

Solution :

Name the pairs of angles :

• Pairs of Corresponding angles

$\tt\ :⟶∠1 = ∠5$

$\tt\ :⟶∠2 = ∠6$

$\tt\ :⟶∠3 = ∠7$

$\tt\ :⟶∠4 = ∠8$

• Vertically opposite angles

$\tt\ :⟶∠1 = ∠3$

$\tt\ :⟶∠2 = ∠4$

$\tt\ :⟶∠ 5= ∠7$

$\tt\ :⟶∠6 = ∠8$

• Pairs of alternate angles [2 interior, 2 exterior]

$\tt\ :⟶∠3 = ∠5$

$\tt\ :⟶∠4 = ∠6$

$\tt\ :⟶∠1 = ∠7$

$\tt\ :⟶∠2 = ∠8$

Fill in the blanks :

If lines intersected by transversal are parallel, then

• ∠3=∠7 (corresponding angles)

• ∠4=∠6,because these pair of angles are alternate interior angles

• ∠3+∠6 = 180° [co-interior angles]