SOLUTION: The difference between two complementary angles is 14.which is the measure of those angles? 14 52 83 or 90

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Question 500455: The difference between two complementary angles is 14.which is the measure of those angles?
14 52 83 or 90

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
The difference between two complementary angles is 14
by definition, two complementary angles add up to 90°
let angles be alpha and beta
alpha+%2B+beta=90
if given alpha+-+beta=14....->....alpha=14%2Bbeta...substitute in alpha+%2B+beta=90 and find beta
14%2Bbeta+%2B+beta=90
2beta=90-14
2beta=76
beta=76%2F2
highlight%28beta=38%29 ....->....alpha=14%2B38....->....highlight%28alpha=52%29