SOLUTION: the sum of the measures of an obtuse and an acute angle is 160. the sum of the complement of the acute angle and one-half the supplement of the obtuse angle is 75. find the measure
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Question 471065: the sum of the measures of an obtuse and an acute angle is 160. the sum of the complement of the acute angle and one-half the supplement of the obtuse angle is 75. find the measures of the two angles.
Answer by gsmani_iyer(201) (Show Source): You can put this solution on YOUR website!
Let the obtuse angle be = x
Let the acute angle be = y
x + y = 160 ....... ........ (1)
......... ........Multiplying both the sides by 2, we get:
........ ........ (2)
From Eqn.(2) - (1) we get,
Applying y's value in Eqn.(1), we get
x + 50 = 160; So, x = 160 - 50 = 110.
So, the measure of obtuse angle = 110 ;
and the measure of acute angle = 50. Answer.
I hope you have understood the above solution. All the best.
gsm
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