Corresponding Angles Definition

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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.

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.

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