SOLUTION: An angle and its complement always have a sum of 90. The sum of the measures of an angle and 5x its complement is 298. What is the measure of an angle

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Question 355689: An angle and its complement always have a sum of 90. The sum of the measures of an angle and 5x its complement is 298. What is the measure of an angle
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the angle. Then its complment is 90-x
You are told
x+%2B+5%2890-x%29+=+298
x+%2B+450+-+5x+=+298
-4x+=+298+-+450
-4x+=+-152
x+=+38