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29 March, 08:52

the measure of one angle of a right triangle is 38 degrees more than the measure of the smallest angle. find the measures of all three angles.

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  1. 29 March, 08:54
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    26°, 64°, 90° all three angles of right angle triangle.

    Step-by-step explanation:

    Given : the measure of one angle of a right triangle is 38 degrees more than the measure of the smallest angle.

    To find : find the measures of all three angles.

    Solution : We have given a right angle triangle

    We know that in right angle one angle = 90 °.

    Let the smaller angle = x.

    According to question:

    Other angle = 38 + x

    By the angle sum property of triangle: sum of all angle is 180°.

    x + 38 + x + 90 = 180.

    2x + 38 + 90 = 180.

    2x + 128 = 180.

    On subtracting both sides by 128.

    2x = 180 - 128.

    2x = 52

    On dividing both sides by 2.

    x = 26.

    Smaller angle = 26

    second angle 26 + 38 = 64

    Third angle = 90.

    90 + 64 + 26 = 180.

    Therefore, 26°, 64°, 90° all three angles of right angle triangle.
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