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6 June, 00:55

In a right triangle, the measure of one of the acute angles is 60 degrees more than the measure of the smallest angle. Find the measures of all three angles.

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  1. 6 June, 03:59
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    90°, 75°, and 15°

    Step-by-step explanation:

    In a right triangle, one of the angles is 90°.

    Let x = the smallest angle

    Then 60 + x = the third angle

    The sum of the three angles is 180°.

    90 + 60 + x + x = 180

    150 + 2x = 180

    2x = 30

    x = 15

    Measure of right angle = 90°

    Measure of smallest angle = x = 15°

    Measure of third angle = 60 + x = 75°

    The measures of the angles are 90°, 75°, and 15°.
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