SOLUTION: Solve the question by crammer rule: The third angle of an isosceles triangle is 16 degree less than the sum of two equal angles. Find three angles of triangle.

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Question 769372: Solve the question by crammer rule:
The third angle of an isosceles triangle is 16 degree less than the sum of two equal angles.
Find three angles of triangle.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
angles x, y, and y.
x=-16+2y, and 180=x+2y.

Form the system,
(x-2y=-16)
(x+2y=180)

Cramer's Rule:
Matrix like
( 1 -2 -16 )
( 1 2 180 )

Denominator of each expression will be determinant, 1%2A2-%28-2%29%2A1=4
highlight%28x=%28-16%2A2-%28-2%29%2A180%29%2F4=82%29 degrees
highlight%28y=%281%2A180-%28-16%2A1%29%29%2F4=49%29 degrees