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Masja [62]
3 years ago
14

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? E

xplain the relationship between the two angles.
Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer:

\angle6=123

Step-by-step 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

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