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.
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