<PRE><B>Question 53743</B>
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.
--------------------------------------------------------------------------
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</PRE>