SOLUTION: GIVEN:∠RST≅∠WSU PROVEN:∠RSW≅∠TSU

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Question 1129592: GIVEN:∠RST≅∠WSU
PROVEN:∠RSW≅∠TSU

Answer by MathLover1(20850) About Me  (Show Source):
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GIVEN: < RST congruent < WSU
PROVE: < RSW congruent < TSU

statement...........................................................reason
1. < RST congruent < WSU .............................given
2. m < RST = m < WSU...........................................def. of congruent angles
3. < RST=< RSW - < TSW................................angle subtraction postulate
and < WSU= < TSU - < TSW...........................angle subtraction postulate
4. < RSW - < TSW= < TSU - < TSW...............substitution
5. < RSW= < TSU...........................................subtraction proposition
6. m < RSW= m < TSU...................................def. of congruent angles