Define Corresponding Angles

Define Corresponding Angles Corresponding angles are the angles that always occupy the same position at each intersection where a transverse line crosses two lines. This is shown below in figure In this figure 1, line a and line b is intersected by the transversal s. And by definition, angle x and angle y are the corresponding angles. After understanding the concepts of corresponding angles, one can easily determine the unknown angles in different situations. This can ve clarified by the following solved examples:- Example 1: Find out the angle s and t indicated in figure 2, when angle p is equal to 30 degrees. Solution : Given, Angle p = 30 degrees We know that, Angle t + Angle p = 180 degrees Therefore, Angle t +30 = 180 (Linear pair) Subtract 30 from both sides, Angle t + 30 30 = 180 30 So Angle t = 150 degrees. Since corresponding angles are equal, Therefore, Angle s = 150 degrees. Example 2: Find out the angle 1 and 1 indicated in below figure 3, when the value of angle 3 is equal to 90 degrees. Solution : Given, The value of Angle 3 = 90 degrees We know that, Angle 2 + Angle 3= 180 degrees Therefore, Angle 2 + 90 = 180 (Linear pair) Subtract 90 from both sides, Angle 2 + 90 90 = 180 90 So Angle 2 = 90 degrees. Since corresponding angles are equal, Therefore, Angle 1 = 90 degrees.