The size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles If the greater of the opp

Question

The size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles If the greater of the opposite interior angles exceeds the smaller by 30 degrees , find the measure of the interior angles of the triangle.

mocmien2 · Answer

The two  interior  angles of the  triangle  is 75 and 105 degree.    What is the exterior angle theorem ?    According to the exterior angle theorem , The size of an exterior angle of a triangle is the sum of of smaller of two opposite interior angles.    It is given that   Let the measure of the two interior angle be x and y   then  The size of an  exterior angle  of a triangle is the supplement of smaller of two opposite interior angles  x+ y = 180    the greater of the opposite  interior angles  exceeds the smaller by 30 degrees , find the measure of the  interior angles  of the  triangle .​  x = y+30  By  substitution  method    y+30+y = 180  2y +30 = 180  2y = 150  y = 75 degree and x = 105 degree.  Therefore the two  interior angles  of the  triangle  is 75 and 105 degree.    To know more about  exterior angle  theorem  https://brainly.com/question/956912    #SPJ1

What is the exterior angle theorem ?

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