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22 March, 16:23

What is the value of x? º A triangle with base on an extended line. Two angle measures are given. Top interior angle is twenty-eight degrees. Lower left exterior angle is seventy-one degrees. Lower right interior angle is labeled x degrees.

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  1. 22 March, 19:54
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    All interior angles of a triangle must have a sum of 180°.

    Interior angle of a triangle and its corresponding exterior angle must have a sum of 180° when its line is extended.

    Top interior angle is 28°

    Lower left exterior angle is 71°

    Lower right interior angle is x°

    Get the left interior angle.

    Exterior angle + Interior angle = 180°

    71° + Interior angle = 180°

    Interior Angle = 180° - 71°

    Interior Angle = 109°

    Top Interior angle + Left Interior Angle + Right Interior angle = 180°

    28° + 109° + x° = 180°

    x = 180° - 28° - 109°

    x = 180° - 137°

    x = 43°

    The lower right interior angle is 43°
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