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An exterior angle of triangle DEF …

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An exterior angle of triangle DEF is of measure 70 degree and one of its interior opposite angle is of measure 35 degree find the measure of other interior opposite angle

    • Posted by Chinu Thora 5 years, 4 months ago

    CBSE > Class 07 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 4 months ago

    Given : Exterior angle of triangle is 70°

               One of its interior opposite angles is 35°

    To Find :Find the measure of the other interior angle.

    Solution:

    Let the measure of the other interior angle be x .

    Exterior angle property of triangle : The sum of measures of two opposite interior angles of triangles is equal the measure of exterior angle.

    So,

    35 + x = 70 

    x = 70 - 35

    x = 35

    Hence the measure of the other interior angle is 35°

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