One corner of the triangle is 35 ‘more than the second, and the third is 25’ less than the second find the corners.

Suppose the second angle of the triangle is x degrees.

Since the first angle is 35 more than the second, then it will be equal to: x + 35 degrees.

The third angle is: x – 25 degrees.

It is known that for any triangle the sum of the angles is 180 degrees, so we get:

x + x + 35 + x – 25 = 180.

3 * x = 180 + 25 – 35.

3 * x = 170.

x = 170/3 = 56 2/3 degrees (second angle).

x + 35 = 56 2/3 + 35 = 91 2/3 degrees (first angle).

x – 25 = 56 2/3 – 25 = 31 2/3 degrees (third angle).

Answer: 91 2/3, 56 2/3 and 31 2/3 degrees.



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