Question

In adjoining figure line p is parallel to line q. line m is perpendicular to line m. Find measures of angle a, angle b and angle c, using measures of given angles. Justify your answers.

Answer 1

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Acc to the question, In the adjoining figure line p || line q line l || line m, Now

The angle vertically opposite to 80 degree will be 80 degree as well. moreover angle c is alternate to 80 degree so c is equal to 80 degree as well.

angle a is corresponding to 100 degree. so angle a is equal to 100 degree. Now the angle vertically opposite to b is interior to a therefore a + angle = 180 degree

or, 100 + angle = 180 or angle = 80 degree.

Therefore angle b is 80 degree.

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