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