One corner of the triangle is 35 ‘more than the second, and the third is 25’ less than the second find the corners.
May 3, 2021 | education
| 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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