SOLUTION: Two angles form a linear pair. The measure of one angle is 51°more than 1\2 the measure of the other angle.

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Question 990192: Two angles form a linear pair. The measure of one angle is 51°more than 1\2 the measure of the other angle.
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
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Definition
A linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other and supplementary means that the measures of the two angles add up to
equal 180 degrees. (http://study.com/academy/lesson/linear-pair-definition-theorem-example.html)

Let  x  be the measure of the given angle in degrees.
Then the other angle is  180° - x,  as it is supplementary angle.

According to the condition,

x - %28180-x%29%2F2 = 51.

Simplify and solve it:

2x - (180-x) = 51*2 = 102,

3x = 180 + 102 = 282,

x = 282%2F3 = 94.

Answer.  94°.