Asked by yizhen !1!
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
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
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m<1+m<2 = 90, m<2+m<3 = 90, transitive, 3, 3
m<1+m<2 = 90, m<2+m<3 = 90, transitive, 3, 3