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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 corresponding angles. By the definition, we can understand the concepts of corresponding angles. After going through the concepts of corresponding angles, one can easily determine the unknown angles in any figure.

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

Since corresponding angles are equal, Therefore

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

Since corresponding angles are equal, Therefore