Question

If m<2= 123, m<12=38 and m<18=100, find the measure of each missing angle.

Answer 1

see below

Explanation:

a) ∠1 = 180 - 123 = 57°

b) ∠3 = 100° (congruent to ∠18)

c) ∠4 = 180 - 100 = 80°

d) ∠5 = 123° (opposite to ∠2)

e) ∠6 = 57° (opposite to ∠1)

f) ∠7 = 38° (alternate angle to ∠12)

g) ∠8 = 180 - ∠7 - ∠9 = 180 - 38 - 100 = 42°

h) ∠9 = 100° (congruent to ∠18)

i) ∠10 = 57° (congruent to ∠1)

j) ∠11 = 180 - ∠10 - ∠12 = 180 - 57 - 38 = 85°

k) ∠13 = 100° (parallel angle to ∠3)

l) ∠14 = 80° (parallel angle to ∠4)

m) ∠15 = 123° (parallel angle to ∠5)

n) ∠16 = 57° (parallel angle to ∠6)

o) ∠17 = 80° (opposite angle to ∠14)