Question 713726
Start by writing what the problem tells you, and what you know.<P>
What you know - the sum of supplementary angles is 180, the sum of complementary angles is 90, and the sum of linear pairs is 180.<P>
What the problem tells you:  m>1 + m>2 = 180, m>1 + m>3 = 90 and m>2 +m>3 = 180<P>
There are three equations and three unknowns, so we can solve for all three.<P>
Add the first two equations:  m>1 + m>2 + m>1 + m>3 = 180+90 = 270.<P>
We know, by the third equation, that m>2 + m>3 = 180, so substitute that into our added equations:<P>
m>1 + 180 + m>1 = 270<P>
Subtract 180 from both sides:   2*(m>1) = 90  ...divide by 2  m>1 = 45
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