Given: <1 and <2 are complementary and <2 and <3 are complementary

Prove: <1 ≃ <3

By defintion of complementary angles, m<1+m<2 = _____ and m<2+m<3 = _____. Then m<1+m<2=m<2+m<3 by the_____ property. Subtract m<2 from each side. You get m<1 = m< ___ or <1≃< ____

FILL IN THE BLANk

S:

m<1+m<2 = 90, m<2+m<3 = 90, transitive, 3, 3