Question

* In the given figure, name the pairs of
vertically opposite angles
​

Answer 1

Answer: 1. ∡APE and ∡BPQ

              2. ∡BPE and ∡APQ

              3. ∡CQP and ∡DQF

              4. ∡DQP and ∡CQF

Given: The diagram in the above picture is given to us.

To Find: We have to find the pairs of vertically opposite angles in the given diagram and name those pairs.

Step-by-Step Explanation:

Firstly, we will look at the definition of vertically opposite angles.

Step 1:

Definition of vertically opposite angles: When two lines intersect with each other, the opposite angles so formed having a vertex in common are called vertically opposite angles or vertical angles.

Step 2:

We look at two line segments AB and EF intersecting at point P.

The opposite angles with common vertex at P are:

1. ∡APE and ∡BPQ
2. ∡BPE and ∡APQ

Step 3:

We look at two line segments CD and EF intersecting at point Q.

The opposite angles with common vertex at Q are:

1. ∡CQP and ∡DQF
2. ∡DQP and ∡CQF

To know more about angles and geometry, refer to the links below:

https://brainly.in/question/23401889

https://brainly.in/question/33894156

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