Corresponding Angles

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL




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.


.
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.

HAVE A QUESTION? Chat With Our Tutoring Experts Now