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Lines x and y are parallel and are cut by the transversal b. If the measure of angle 1 is 57°, what is the measure of angle 6? Explain the relationship between the two angles.

1 Answer

4 votes

Answer:


\angle6=123

Explanation:

Given

Lines x and y

Transversal b


\angle 1 = 57

Required

Find
\angle 6

From the attachment,
\angle1 and
\angle7 are vertically opposite.

This means that


\angle 1 =\angle 7 = 57

Similarly


\angle 7 and
\angle 6 are supplementary angles

So:


\angle7 + \angle6=180

Make
\angle6 the subject


\angle6=180-\angle7


\angle6=180-57


\angle6=123

The relationship between
\angle1 and
\angle6 is that they are supplementary angles because:


\angle6+ \angle1=180

Lines x and y are parallel and are cut by the transversal b. If the measure of angle-example-1
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