Select the correct answer from each drop-down menu.
Given: 1 is complementary to 2
m24 = 40°
Prove: m/2 50°
2
3
Complete the proof in paragraph form.
21 is complementary
to 22
given
2421
vertical angles
theorem
m21+m22-90
definition of
complementary
m24-m21
definition of
congruence
40°-m21
substitution
m4 = 40°
property
of equality
given
Complete the proof in paragraph form.
By the definition of complementary angles, since 21 is complementary to 22. m/1+m/2-90° By the vertical angles theorem,
2421, and m/4m/1 by the definition of congruence. Combined with the given equation, m/4-40° the substitution property
of equality means that 40° =m/1. Using the
40° +m/2=
Finally, using
the
m/2-50°