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

Sagot :

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By using the ratio, we will see that angle C measures 36° and angle D measures 54°.

How to find the measure of the angles?

First, two angles are complementary if the sum of their measures gives 90°.

So we have:

C + D = 90°.

Also, we know that the ratio of C to D is 2:3

This means that we can divide the 90° in 5 parts (3 + 2 = 5) such that 2 of these parts are angle C, and the remaining 3 are angle D.

90°/5 = 18°

C = 2*18° = 36°

D = 3*18° = 54°

These are the measures of the angles.

If you want to learn more about angles:

https://brainly.com/question/16281260

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