Answer:
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles
Step-by-step explanation:
From the given question, the proof can be completed as;
Statement Reason
1. <2 and < 1 are complementary (47) c. given
<3 and <1 are complementary
2. m<2 + m<1 = [tex]90^{o}[/tex] (48) b. definition of complementary angles
m<3 + m<1 = [tex]90^{o}[/tex]
3. m<2 + m<1 = m<3 + m<1 3. Substitution property
4. (49) a, m<2 = m<3 4. Subtraction property
5. <2 ≅ <3 (50) d. definition of congruent angles
Therefore,
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles
