Vertical Angle Definition

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When two straight lines intersect each other, then the angles formed which are opposite to each other are known as vertical angles, and such vertical angles are equal in measure. So this implies that the vertical angles, which are the opposite angles formed when two lines intersect each other are congruent angles and this definition helps us calculate various other angles very easily. Vertical angles play a very important role while measuring angles in different cases of geometry.

Example 1: Given below is the diagram of the intersection of two straight lines. If the value of ‘a’ = 70°, then find the value of ‘x’ from the diagram shown below.

Given, a = 70°



From the diagram we can observe that, ‘a’ and ‘x’ are opposite to each other and hence they are vertical angles!

Hence their value should be equal to each other.

This gives, value of ‘x’ = value of ‘a’ = 70°.

Example 2: Given below is the diagram of the intersection of two straight lines. If the value of ‘x’ = 85°, then find the value of ‘y’ from the diagram shown below.

Given, x = 85°

From the diagram we can observe that, ‘x’ and ‘y’ are opposite to each other and hence they are vertical angles!           

Hence their value should be equal to each other.

This gives, value of ‘y’ = value of ‘x’ = 85°.



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