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Angles C and D are complementary. The ratio of the measure ofAngle C to the measure of Angle D is 2:3. Find the measure of each angle. Explain or show your reasoning.
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Angles C and D are complementary. The ratio of the measure ofAngle C to the measure of Angle D is 2:3. Find the measure of each angle. Explain or show your reasoning.

User Panda Pajama
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1 Answer

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C:D = 2:3

Then C:(C+D) = 2:(2+3) = 2:5. That is, C = 2/5 of the total of C+D.

The total of complementary angles C and D is 90°.

C = 2/5*90° = 36°
D = 90° - 36° = 54°

The measure of ∠C is 36°.
The measure of ∠D is 54°.
User Kahsius
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