SOLUTION: GIVEN: ANGLE 1 IS CONGRUENT TO ANGLE 3,ANGLE 4 IS SUPPLEMENTARY TO ANGLE 1, AND ANGLE 2 IS SUPPLEMENTARY TO ANGLE 3 PROVE: ANGLE 4 IS CONGRUENT TO ANGLE 2
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-> SOLUTION: GIVEN: ANGLE 1 IS CONGRUENT TO ANGLE 3,ANGLE 4 IS SUPPLEMENTARY TO ANGLE 1, AND ANGLE 2 IS SUPPLEMENTARY TO ANGLE 3 PROVE: ANGLE 4 IS CONGRUENT TO ANGLE 2
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Question 563210: GIVEN: ANGLE 1 IS CONGRUENT TO ANGLE 3,ANGLE 4 IS SUPPLEMENTARY TO ANGLE 1, AND ANGLE 2 IS SUPPLEMENTARY TO ANGLE 3 PROVE: ANGLE 4 IS CONGRUENT TO ANGLE 2 Answer by solver91311(24713) (Show Source):
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Since 1 and 4 are supplementary, the measure of 1 plus the measure of 4 is 180 degrees. Hence 180 minus the measure of 1 is 4. Likewise, the measure of 2 plus the measure of 3 is 180. Substituting since 1 and 3 are congruent, the measure of 2 plus the measure of 1 is 180. Hence, 180 minus the measure of 1 is 2. The measure of 4 and the measure of 2 are the same, so they have to be congruent.
John
My calculator said it, I believe it, that settles it
