Corresponding Angles Definition

Corresponding Angles Definition The angles that take up the identical relative position at each intersection where a transverse line crosses two others. In this figure 1, line p and line q is intersected by the transverse r. And by definition, angle 1 and angle 2 are the correspondingangles. By the definition, we can understand the concepts of corresponding angles. After going through the concepts ofcorresponding angles, one can easily determine the unknown angles in any figure. Question 1: Find out the angle p and q indicated in figure 2, when angle r is equal to 30 degrees. Solution: Given, Angle r = 30 degrees We know that, Angle q + Angle r = 180 degrees Therefore Angle q +30 = 180 (Linear pair) Subtract 30 from both sides, Angle q + 30 30 = 180 30 So Angle q = 150 degrees. Since corresponding angles are equal,Therefore, Angle p = 150 degrees. Question 2: Find out the angle s and t indicated in below figure 3, when the value of angle u is equal to 90 degrees. We know that, Angle t + Angle u= 180 degrees Therefore Angle t + 90 = 180 (Linear pair) Subtract 90 from both sides, Angle t + 90 90 = 180 90 So Angle t = 90 degrees. Since corresponding angles are equal,Therefore, Angle s = 90 degrees.