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Luba_88 [7]
3 years ago
9

Find the measure of each angle. Assume the lines are parallel.

Mathematics
2 answers:
Arisa [49]3 years ago
5 0

Answer:

Givens

\angle 1 = 113\°

In the image provided we have a pair of parallels lines and a transversal, this setup forms 8 angles which are related in pairs.

Therefore,

\angle 2= 180\° - 113\° = 67\°, by supplementary angles defintion.

\angle 3 = \angle 1 = 113 \°, by corresponding angles definition.

\angle 4 = \angle 2 = 67\°, by supplementary angles.

\angle 5 = \angle 1 = 113\°, by alternate exterior angles.

\angle 6 = \angle 2 = 67\°, by alternate exterior angles.

\angle 7 = \angle 1 = 113\°, by vertical angles definition.

\angle 8 = \angle 2 = 67\°, by vertical angles.

The answer to the second question is 76°, that's the value that makes lines a and b parallel, because that way those angles would be alternate interior angles, which are always congruent when they are formed by a pair of parallels and a transversal.

Grace [21]3 years ago
3 0
2=67 degrees
3=113 degrees
4=67 degrees
5=113 degrees
6=67 degrees
7=113 degrees
8=67 degrees
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horrorfan [7]

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∴ m∠BCE = m∠ECD = \frac{1}{2} m∠BCD

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∴ ∠BCD is a right angle

6 0
3 years ago
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