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29 November, 09:36

The measure of one angle of a right triangle is 38∘ more than the measure of the smallest angle. Find the measures of all three angles

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Answers (2)
  1. 29 November, 11:46
    0
    90°, 64° and 26°

    Step-by-step explanation:

    Let x be the smallest angle of the triangle.

    90° + (x + 38) ° + x = 180° [ Angle Sum Property ]

    90 + x + 38 + x = 180°

    128 + 2x = 180°

    2x = 180 - 128

    2x = 52

    x = 52 / 2

    x = 26

    Therefore, the angles are:

    90° 64° [ x + 38 ] 26°

    Hope you liked the answer!

    Regards ...
  2. 29 November, 13:07
    0
    90°, 64° and 26°

    Step-by-step explanation:

    The 3 angles in a triangle sum to 180°

    let x be the smallest angle then the other angle is x + 38, thus

    x + x + 38 + 90 = 180, that is

    2x + 128 = 180 (subtract 128 from both sides)

    2x = 52 (divide both sides by 2)

    x = 26

    The other angle = 26 + 38 = 64

    The 3 angles are 90°, 64° and 26°
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