Vertically opposite angles form a linear pair. State whether the statement is true or false

Solution:

Given, vertically opposite angles form a linear pair.

We have to determine if the given statement is true or false.

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Vertically opposite angles are equal to each other.

Here, ∠a = ∠b

Linear pairs of angles are formed when two lines intersect each other at a single point.

The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

The sum of angles of a linear pair is always equal to 180°

Here, ∠1 + ∠2 = 180°

So, vertically opposite angles do not form a linear pair but are always equal.

Therefore, the given statement is false.

✦ Try This: An angle is more than 50°. Its complementary angle must be less than 45°. State whether the statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 66

Vertically opposite angles form a linear pair. State whether the statement is true or false

Summary:

The given statement,”vertically opposite angles form a linear pair” is false.

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