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Line p is parallel to line q. If the measure of angle 3 is 54 what is the measure of angle 6?... Help

Line p is parallel to line q. If the measure of angle 3 is 54 what is the measure-example-1

2 Answers

1 vote

Answer:

54 degrees

Explanation:

User MrFisherman
by
8.3k points
3 votes

Answer:

54°

Explanation:

Because p and q are parallel, angle 3 equal to angle 6 as they are alternative angles.

So angle 6 is 54°.

Alternative

Line p and line q is parallel, so that the sum of a pair of interior angles (angle 3 and angle 5, angle 4 and angle 6) are equal to 180°.

So angle 4 + angle 6 = 180°.

Find angle 4 first:

180° - angle 3 = angle 4

180° - 54° = 126°

So the measure of angle 6 is

180° - 126° = 54°

User Kylebonnes
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