<1 & <2 are complementary <-----------------------------> My terrible drawing of the graph being used.
<3 & <4 are complementary / | \
<1 = <3 / | \
Prove <2 = <4 / v \
+30 Using a two-column proof:
Statements (reasons)
<1 and <2 are complementary, <3 and <4 are complementary, m<1 = m<3 (given)
m<1 + m<2 = 90, m<3 + m<4 = 90 (definition of complementary angles)
m<3 + m<2 = 90, m<3 + m<4 = 90 (substitution property of equality)
m<2 = 90 - m<3, m<4 = 90 - m<3 (subtraction property of equality)
m<2 = m<4 (transitive property of equality)
