One corner of the triangle is 2 times larger than the other and 25 (degrees) less than the third. find all the corners of the triangle.

The angles in a triangle add up to 180 degrees. Let x degrees be the degree measure of one angle, then y degrees is the degree measure of the second angle and z degrees is the degree measure of the third angle.
x = 2y
x + 25 = z
x + y + z = 180
We express y and z in terms of x.
y = x / 2
z = 25 + x
We substitute these expressions into the third equation so that an equation with one unknown is obtained and it can be solved.
x + x / 2 + x + 25 = 180
2x + x / 2 + 25 = 180
(4x + x) / 2 = 180-25
5x / 2 = 155
5x = 155 * 2
5x = 310
x = 62
y = 62/2 = 31
z = 62 + 25 = 87
Answer: the degree measures of the angles are 62, 31 and 87 degrees.



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