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An exterior angle of a triangle …

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An exterior angle of a triangle is 110° and one of the interior opposite angle is 30°. Find the other two angles of the triangle.

    • Posted by . . 4 years, 1 month ago

    CBSE > Class 09 > Mathematics
    • 3 answers

    Himanshu Singh 4 years, 1 month ago

    The exterior angle form linear pair so 180° - 130° = 50° Hence : 30° + 50° + X = 180° X= 180° - 80° = 100° 1 = 30° 2= 50° 3=100°

    0Thank You

    Sarita Panda 4 years, 1 month ago

    80 and 70 degrees

    0Thank You

    Gaurav Seth 4 years, 1 month ago

    Sum of the measures of the interior opposite angles= The measure of exterior angle.

    So,
    Let the unknown angle be x.

    30°+x°=110°
    x°= 110°-30°
    x°=80°

    So the other angle is of measure 80°.

    Now,
    The measure of the third angle would be 180-(80+30).

    Since, sum of all the angles of a triangle is 180°.

    So here's the solution:

    180-(80+30)
    180-110
    70°

    So the angles measures are as follows:
    Angle 1: 30°
    Angle 2: 80°
    Angle 3: 70°

    1Thank You

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