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Three angles of a triangle add to 180.The smallest angle is half the size of the largest angle. The third angle is 25 less than twice the smallest angle.Find the values of all three angles.
Three angles of a triangle add to 180.The smallest angle is half the size of the largest angle. The third angle is 25 less than twice the smallest angle.Find the values of all three angles.
Let the largest angle =L
The smallest angle =1/2L
The third angle =2(1/2L) - 25
L + 1/2L + 2(1/2L) - 25 =180, solve for L
L=82 degrees - the largest angle.
82/2 =41 degrees - the smallest angle.
2 x 41 - 25 =57 degrees - the 3rd angle.
82 + 41 + 57 = 180 degrees.
