Question 647477

given:

Let < {{{A}}} and < {{{B}}} be {{{supplementary}}} angles, and 

let m < {{{A = (x + 12)}}}° and m < {{{B = (3x + 20)}}}°. 

What is the value of {{{x}}}? 

What are the measures of the angles?
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Supplementary Angles add up to {{{180}}}°.

So, {{{A+B=180}}}............1

m < {{{A = (x + 12)}}} and m < {{{B = (3x + 20)}}}°...plug it in 1


{{{x + 12+3x + 20=180}}}............1

{{{4x + 32=180}}}

{{{4x=180-32}}}

{{{4x=148}}}

{{{x=148/4}}}

{{{x=37}}}........the value of {{{x}}}

the measures of the angles:

m < {{{A = (x + 12)}}}

m < {{{A = (37+ 12)}}}

m < {{{A = 49}}}°

m < {{{B = (3x + 20)}}}°

m < {{{B = (3*37 + 20)}}}°

m < {{{B = (111 + 20)}}}°

m < {{{B = 131}}}°