Given<1 is complementary to <2, m<4=40 degrees
Prove: m<2=50 degrees
2
1
4
3
Complete the proof in paragraph form
21 is complementary
to 22
given
24 21
vertical angles
theorem
m21+mz2 = 90°
definition of
complementary
mz4=mz1
definition of
congruence
m24 = 40°
given
40" = m/1
substitution
property
of equality
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,
40°, the substitution property of
24 21, and m/4= m/1 by the definition of congruence. Combined with the given equation, m/4=
equality means that 40° = m/1 Using the
V 40° + m2 =
Finally, using
the
m/2 = 50°