Which interior angles are possible for a triangle? The measures of the interior angles of a triangle are 90°, 40°, and 50°. The measures of

Question

Which interior angles are possible for a triangle? The measures of the interior angles of a triangle are 90°, 40°, and 50°. The measures of the interior angles of a triangle are 82°,38°, and 60°. The measures of the interior angles of a triangle are 65°, 25°, and 75°. The measures of the interior angles of a triangle are 57°, 70°, and 33°. The measures of the interior angles of a triangle are 59°, 31°, and 90

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    2022-01-11T21:24:27+00:00

    The sum of interior angles of a triangle is always* 180°, so the following triangles are possible:

    • 90°, 40°, 50°
    • 82°, 38°, 60°
    • 59°, 31°, 90°

    _____

    The following are not possible triangles.

    • 65°, 25°, 75° — add to 165° ≠ 180°
    • 57°, 70°, 33° — add to 160° ≠ 180°

    _____

    * in plane Euclidean geometry. There are other topologies such that the sum of angles of a triangle differs from 180°.

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    2022-01-11T21:25:08+00:00

    Answer:

    The number have to add up to 180 so

    The measures of the interior angles of a triangle are 59°, 31°, and 90°.

    The measures of the interior angles of a triangle are 90°, 40°, and 50°.

    And

    The measures of the interior angles of a triangle are 82°,38°, and 60°.

    Are the answers

    Step-by-step explanation:

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