Line A and Line B are parallel. Line P is a transversal. If the measure of angle 8 is 140°, find the measures of the rest of the angles in the diagram. Then tell what the angle relationship is to angle 8.

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barackodam barackodam · Answer 1 · 2022-09-15T18:36:44+02:00

The angle measures are;

Angle 7 is 40° = Angles 8 : supplementary

Angle 3 is 40° = Angles 8: supplementary angles

Angle 5 = 140° = Angle 8; corresponding angles

Angle 1 = 140° = Angle 8; corresponding angles

Angle 6 = 40° = Angle 8; supplementary angles

Angle 2 = 140° = Angle 8; corresponding angles

Angle 4 = 140° Angle 8; corresponding angles

Given that angle 8 measures 140 degrees

It is important to note that angles on a straight line equals 180 degrees

Then,

angle 7 + angle 8 = 180°

Substitute the values of angle 8

Angle 7 + 140 = 180

Angle 7 = 180 - 140

Angle 7 = 40°

Thus, If angle 7 is 40° then angle 3 is 40°, corresponding angles

Angle 5 = Angle 8; corresponding angles

Angle 1 = Angle 8; corresponding angles

Angle 6 = Angle 7; corresponding angles

Angle 2 = Angle 8; corresponding angles

Angle 4 = Angle 8; corresponding angles

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