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An angle measures 40.4° less than the measure of its complementary angle. What is the measure of each angle?

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Answer:

The two angles are

24.80° and 65.20°

Explanation:

Let the two angles be x and y be two angles

As they are complement angles

x+y=90 --(A)

The angle measures 40.4° less than the measure of its complementary angle

Hence

x=y-40.40

x-y=-40.40 --(B)

adding A and B

2x=49.60

x=24.80

Hene putting this value in A

24.80+y=90

y=90-24.80

y=60.20

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