Question

In the given figure, L parallel to m and a is the transversal. If angle 1 and angle 2 are in the ratio 3:7, find the measure
of rest of the angles.
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Answer 1

Answer:

Let 3x,7x be the angle

3x + 7x = 180 (since they are linear pair)

10x = 180

X = 180/10

Therefore X = 18

3x = 3×18=54

7x = 7×18=126

Answer 2

Answer:

3x+7x=180(linear pair)

10x=180

x=180/10

x=18

therefore, 3x=54

7x=126

angle 1=54

angle 2=126

angle 3=54(vertically opposite

angle)

angle 4=126(vertically opposite

angle)

angle 5=54(corresponding angles)

angle 6=126(corresponding angles)

angle 7=54(corresponding angles)

angle 8=126(corresponding angle)