1. If m28 = 23°, find the measure of each missing angle. Give your reasoning. a. m21 =
b. m 2 =
c. mZ3 =
d. m24 =
e. m25 =
f. m26 =
g. m27 =

Answer/explanation:

Given:

m<8 = 23°

a. m<1 = 180° - m<8 (corresponding angles theorem and supplementary angles theorem)

m<1 = 180 - 23 = 157°

b. m<2 + m<1 = 180° (linear pair)

m<2 + 157° = 180°

m<2 = 180° - 153° = 23°

c. m<3 = m<1 (vertical angles are congruent)

m<3 = 157°

d. m<4 = m<2 (vertical angles are congruent)

m<4 = 23°

e. m<5 = m<1 (corresponding angles)

m<5 = 157°

f. m<6 = m<8 (vertical angles are congruent)

m<6 = 23°

g. m<7 = m<5 (vertical angles are congruent)

m<7 = 157°

yes. we do proportions in probabilities.

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