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An angle measures 18.6° less than the measure of its complementary angle. What is the measure of each angle?

User Pantaloons
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1 Answer

10 votes

Answer:

X = 35.7 Y=54.3

Explanation:

Let the 2 angles be called X and Y were X is the smaller angle

we know that both angles are complementary therefore
X+Y=90

X = Y - 18.6 ( Given )

Y - 18.6 + Y = 90 ( substitution)

2Y = 90 + 18.6

Y = 108.6/2

Y=54.3

X= Y-18.6= 54.3-18.6 = 35.7

Check : X + Y = 35.7+54.3=90

User Abhilash Augustine
by
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