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HELPPP PLESSSS 100 points 20.1: Math Talk: Angle Relationships

Lines and mare parallel. Mentally evaluate the measure x in each figure.

HELPPP PLESSSS 100 points 20.1: Math Talk: Angle Relationships Lines and mare parallel-example-1

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The evaluation of the measure of x in each figure is:

x = 40°

x = 61°

x = 82°

x = 125°

What is the measure of angle x?

Figure A:

x = 40°

Reason: Corresponding angles are equal

Figure B:

x = 61°

Reason: Alternate interior angles are equal

Figure C:

x + 98° = 180°

Reason: co-interior angles are equal

x = 180° - 98°

x = 82°

Figure D:

x = 125°

Reason:

Alternate exterior angles are equal

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