Question

An exterior angle of a triangle is of measure 104°. One of its interior opposite angles is of measure 52०. Find the measure of the other interior opposite angle.​

Answer 1

Answer:

>> As exterior and interior angle of same side are supplementary.

    So, interior angle will be 180-104

     i.e. 76 degree.

>> Now, for the other opposite interior angle,

    As, the sum of a triangle is 180 degree,

  So, 3rd interior angle will be

                                    180 - (1st interior angle + 2nd interior angle)

         i.e. 180 - ( 76 +  52 )

 3rd interior angle is 52°.

>> All 3 angles of triangle are 104° , 52° , 52°.

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Answer 2

Answer:

we know that exterior angle is equal to sum of opposite interior two angles.

so one of its angle is 52°.

let the second angle be x .

so 52°+ x= 104°

x = 104 - 52

x= 52°

so second angle is 52°