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7 January, 01:12

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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  1. 7 January, 01:41
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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°.
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