Vertical angles are the angles which are situated opposite to each other whenever there is an intersection of two straight lines. The most important property of vertical angles is that they are equal to each other. There are many instances in our daily life when we can find vertical angles being formed. For an example, the blades of a scissor when opened cross each other and we can observe the vertical angles being formed. Similarly another real life example would be when two rail tracks cross each other and they form vertical angles.
Example 1: Given below is the diagram of the intersection of two straight lines. If the value of ‘x’ = 79°, then find the value of ‘y’ from the diagram shown below.
Given, x = 79°
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’ = 79°.
Example 2: Given below is the diagram of the intersection of two straight lines. If the value of ‘a’ = 105°, then find the value of ‘b’ from the diagram shown below.
Given, a = 85°
From the diagram we can observe that, ‘a’ and ‘b’ are opposite to each other and hence they are vertical angles!
Hence their value should be equal to each other.
This gives, value of ‘b’ = value of ‘a’ = 105°.
Example 1: Given below is the diagram of the intersection of two straight lines. If the value of ‘x’ = 79°, then find the value of ‘y’ from the diagram shown below.
Given, x = 79°
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’ = 79°.
Example 2: Given below is the diagram of the intersection of two straight lines. If the value of ‘a’ = 105°, then find the value of ‘b’ from the diagram shown below.
Given, a = 85°
From the diagram we can observe that, ‘a’ and ‘b’ are opposite to each other and hence they are vertical angles!
Hence their value should be equal to each other.
This gives, value of ‘b’ = value of ‘a’ = 105°.
