Finding the Measures of Angles in a Linear Pair

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bernardl
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<1 and <2 form a linear pair. If m<1 = 5x + 9 and m<2 = 3x + 11, find the measures of both angles.
 
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Hi bernardl and welcome to MHB! :D

I've re-titled your recent threads to give them a name that accurately reflects the problem at hand.

A linear pair of angles have measures that sum to 180 degrees, so we want to solve

5x + 9 + 3x + 11 = 180

for x, then substitute that value for x into the respective expressions to find the measure of the two angles.