When two Parallel lines are crossed by another line known as transverse, then the angles which occupy the same position at each intersection or the angles in the matching corners are known as Corresponding angles
This can be better understood by the below figure in which angle 1 and angle 2 are corresponding angles.
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Example 1: Find out the angle 1 and 2 indicated in figure 2, when angle 3 is equal to 60 degrees.
Solution 1: Given, Angle 3 = 60 degrees
We know that, Angle 2 + Angle 3 = 180 degrees
Therefore Angle 2 + 60 = 180 (Linear pair)
Subtract 60 from both sides,
Angle 2 + 60 – 60 = 180 – 60
So Angle 2 = 120 degrees.
Since corresponding angles are equal,
Therefore, Angle 1 = 120 degrees.
Example2: Find out the angle 1 and 2 indicated in above figure 3, when the value of angle 3 is equal to 120 degrees.
Solution 2: Given, The value of Angle 3 = 120 degrees
We know that, Angle 2 + Angle 3 = 180 degrees
Therefore Angle 2 + 120 = 180 (Linear pair)
Subtract 120 from both sides,
Angle 2 + 120 – 120 = 180 – 120
So Angle 2 = 60 degrees.
Since corresponding angles are equal,
Therefore, Angle 1 = 60 degrees.
This can be better understood by the below figure in which angle 1 and angle 2 are corresponding angles.
.
Example 1: Find out the angle 1 and 2 indicated in figure 2, when angle 3 is equal to 60 degrees.
Solution 1: Given, Angle 3 = 60 degrees
We know that, Angle 2 + Angle 3 = 180 degrees
Therefore Angle 2 + 60 = 180 (Linear pair)
Subtract 60 from both sides,
Angle 2 + 60 – 60 = 180 – 60
So Angle 2 = 120 degrees.
Since corresponding angles are equal,
Therefore, Angle 1 = 120 degrees.
Example2: Find out the angle 1 and 2 indicated in above figure 3, when the value of angle 3 is equal to 120 degrees.
Solution 2: Given, The value of Angle 3 = 120 degrees
We know that, Angle 2 + Angle 3 = 180 degrees
Therefore Angle 2 + 120 = 180 (Linear pair)
Subtract 120 from both sides,
Angle 2 + 120 – 120 = 180 – 120
So Angle 2 = 60 degrees.
Since corresponding angles are equal,
Therefore, Angle 1 = 60 degrees.
