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10 March, 03:51

the sum of the measurement of two exterior angles of a triangle is 255. what is the measurement of the third exterior angle?

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Answers (2)
  1. 10 March, 05:01
    0
    The third exterior angle = 105°

    Step-by-step explanation:

    The sum of the exterior angles is 360°

    If the sum of the measurement of two exterior angles = 255°

    The third exterior angle = 360° - 255° = 105°
  2. 10 March, 06:14
    0
    The measurement of the third exterior angle is 105°.

    Step-by-step explanation:

    The sum of the measures of the exterior angles of a polygon is always 360° (However it is triangle or rectangle or etc ...)

    Since, a triangle has three exterior angles,

    Given,

    The measurement of two exterior angles of a triangle is 255°,

    Let x be the third exterior angle,

    Then by the above statement,

    x + 255° = 360°

    x = 360° - 255° = 105°

    Hence, the measurement of the third exterior angle is 105°.
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