How to Find Corresponding Angles - Theorem, Proof

Definition:

When two straight lines are cut by another line i.e transversal, then the angles in identical corners are said to be Corresponding Angles. This tutorial explains you how to calculate the corresponding angles.

Congruent corresponding angles are: Angle of 'a' = Angle of 'g' Angle of 'd' = Angle of 'f' Angle of 'b' = Angle of 'h' Angel of 'c' = Angle of 'e'

Example:

How many pairs of corresponding angles are formed when two parallel lines are cut by a transversal if the angle a is 55 degree?

Given,

Angle a = 55 degree

To Find,

Angles b, c, d, e, f, g, h

Solution:

Let us calculate the value of other seven angles, Angles are a = 55 ° a = g , therefore g=55 ° a+b=180, therefore b = 180-a b = 180-55 b = 125 ° b = h, therefore h=125 ° c+b=180, therefore c = 180-b c = 180-125; c = 55 ° c = e, therefore e=55 ° d+c = 180, therefore d = 180-c d = 180-55 d = 125 ° d = f, therefore f = 125 °

Result

Angle of 'a' = 55 ° Angle of 'b' = 125 ° Angle of 'c' = 55 ° Angle of 'd' = 125 ° Angle of 'e' = 55 ° Angle of 'f' = 125 ° Angle of 'g' = 55 ° Angle of 'h' = 125 °