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(52776) (Show Source): You can put this solution on YOUR website!
.
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,
- = 51.
Simplify and solve it:
2x - (180-x) = 51*2 = 102,
3x = 180 + 102 = 282,
x = = 94.
Answer. 94°.
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