12. complete the two colume proof.
given: 22-24m2-110°
prove: x23 - 70°
12)
(test -12)
lesson 3
statement
proof
2024.22110°
given
22-24
definition of congruent angles
24-1109
*43 and 44 are a linear pair
definition of a linear pair (shown in
a diagram)
*.23 and 24 are
linear pair postulate
supplementary
23+24 - 180°
23+110° - 180°
substitution property
23-709
fill in the blanks to complete this proof of theorem 2-3.
if two congruent angles are complements of the same angle, then the two angles
are congruent.
13)
given: < 1 and 22 are complementary
< 3 and 22 are complementary
prove: < 1 23
(ps. 125 $13)
lesson 3.4
proof: 21 and 2 are complementary and 23 and 22 are complementary because it is given.
by the definition of complementary angles, mel + m2 = a) and m23 + m2 =
b)
_. then mal+m22 -m23+ m_2 by the transitive property of equality,
subtract m 2 from each side. by the subtraction property of equality, you get mal =
angles with the same measure are d)
so 1 23