Question

two angles are complementary of the sum of their measures is 90 degree. The measure of the first angle is x degree and the second angle is 38 degrees less than three times the first. find the measure of the two angles

Answer 1

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Answer:

  32°, 58°

Step-by-step explanation:

The second angle is (3x-38), and their sum is ...

  x +(3x -38) = 90

  4x = 128 . . . . . . . . . add 38 and simplify

  x = 32 . . . . . first angle

  3x -38 = 3·32 -38 = 58 . . . . . . second angle

The measures of the two angles are 32° and 58°.