Question 508883: Given: <3 and <2 are complementary; m<1 + m<2 = 90 degrees
Prove: <1 is congruent to <3
(With reasons) Found 2 solutions by swincher4391, 10301650:Answer by swincher4391(1107) (Show Source):
You can put this solution on YOUR website! Proof:
By definition, if m<2 and m<3 are complementary, then m<2 + m<3 = 90. Also since we are given m<1 + m<2 = 90, then it follows that m<1 + m<2 = m<2 + m<3. Then if we subtract m<2 from both sides we are given our desired result m<1 = m<3. Hence m<1 and m<3 are congruent.
