Question

*How many pairs of interior angles are formed when a line intersects two parallel lines?*

1️⃣ 1
2️⃣ 2
3️⃣ 4
4️⃣ 3​

Answer 1

Answer:

2 pairs of interior angles are formed when a line intersects 2 parallel lines.

Explanation-

Say line l is parallel to line m and x is transversal. Interior Then as shown in the figure above the pair of interior angles will be 2.

Hope it Helps!!

Answer 2

Given,

The situation : A line intersects two parallel lines.

To find,

Number of interior angles formed in the given situation.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now, whenever a line intersects two parallel lines, a total of 8 angles are formed due to the intersection.

Among those 8 angles,

4 angles are interior angles and 4 angles are exterior angles.

Now, 1 pair = 2 objects

So,

1 pair of angles = 2 angles

2 angles = 1 pair of angles

1 angle = ½ pair of angles

4 angles = 4/2 = 2 pairs of angles

So, there will be 2 pairs of interior angles.

(This will be considered as the final result.)

Hence, 2 pairs of interior angles will be formed. (option 2)