SOLUTION: if m<2=72 what does the measure of m<3=

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Question 743035: if m<2=72 what does the measure of m<3=

Answer by MathLover1(20850) About Me  (Show Source):
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vertical angles and supplementary angles both add up to 180°
so, m<3= m<2
proof:
if ∠ 1 and ∠ 3are vertical angles, and we know that vertical angles add up to 180, then
1 and ∠ 2 are supplementary angles that add up to 180°
=> ∠ 1= 180 -∠ 2
=> ∠ 1= 180+-72
=> ∠ 1= 108
then
3=180 -∠ 2
3=180+-108
3=72