SOLUTION: having trouble solving proof problems. page 71 #10 WRITE A PROOF ANGLE ABC IS CONGRUENT TO ANGLE ACB.RAY BP AND RAY CP ARE ANGLE BISECTORS OF ANGLE DBC AND ANGLE ECB. PROVE THAT

Algebra ->  Geometry-proofs -> SOLUTION: having trouble solving proof problems. page 71 #10 WRITE A PROOF ANGLE ABC IS CONGRUENT TO ANGLE ACB.RAY BP AND RAY CP ARE ANGLE BISECTORS OF ANGLE DBC AND ANGLE ECB. PROVE THAT       Log On


   



Question 53743This question is from textbook prentice hall geometry
: having trouble solving proof problems. page 71 #10
WRITE A PROOF
ANGLE ABC IS CONGRUENT TO ANGLE ACB.RAY BP AND RAY CP ARE ANGLE BISECTORS OF ANGLE DBC AND ANGLE ECB. PROVE THAT ANGLE CBP IS CONGRUENT TO ANGLE BCP.
This question is from textbook prentice hall geometry

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having trouble solving proof problems. page 71 #10
WRITE A PROOF
ANGLE ABC IS CONGRUENT TO ANGLE ACB.RAY BP AND RAY CP ARE ANGLE BISECTORS OF ANGLE DBC AND ANGLE ECB. PROVE THAT ANGLE CBP IS CONGRUENT TO ANGLE BCP.
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PLEASE DESCRIBE PROBLEM FULLY TO ANSWER.YOU HAVE NOT TOLD WHAT ARE D AND E??ASSUMING THAT THEY ARE SOME POINTS ON AB AND AC EXTENDED , IAM GIVING YOU THE PROOF.PLEASE CONFIRM OR GIVE A SKETCH.
ANGLE CBD IS SUPPLEMENTARY TO ANGLE ABC...SINCE ABD IS A STRAIGHT ANGLE.
ANGLE BCE IS SUPPLEMENTARY TO ANGLE ACB ..SINCE ACE IS A STRAIGHT LINE.
BUT
ANGLE ABC = ANGLE ACB ...GIVEN..SO
ANGLE CBD = ANGLE BCE...SUPPLEMENTARY ANGLES OF EQUAL ANGLES.
ANGLE PBC = ANGLE CBD/2......GIVEN
ANGLE PCB = ANLE BCE/2.......GIVEN
HENCE
ANGLE PBC = ANGLE PCB