If two complementary angles are in the ratio 2:3, then the angles are

Complementary angles = 90°Ratio of the two angles = 2:3Measures of the angles -Let the angle be xTherefore, 2x and 3x2x + 3x = 5x90 ÷ 5 = 18First Angle = 2 × 18= 36Second Angle = 3 × 18

= 54

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Let one angle be 2x,,,and other angle be 3x . 2x +3x = 90,,,,,,,def of complement . 5x = 90 . x=18 . angles are 2x = 36, and 3x = 54 . check,,,,,36 +54 = 90 ,,,,,,ok . 36 /54 = 2/3,,,,,ok

Two complementary angles are in the ratio of 2:3, find the measure of the complementary angle. 2+3=5 90/5=18 ------- Then, 1 angle is 2*18, the other is 3*18 = 36� and 54�