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find the smallest angle of the triangle 96degrees, 2x, x+12degrees
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GPT 3.5
To find the smallest angle of the triangle, we must determine the value of x in the angles 2x and x+12.
Adding up the angles of a triangle, we get:
96 + 2x + x + 12 = 180
109 + 3x = 180
3x = 71
x = 23.67
Substitute x back into the angles to find the smallest one:
2x = 2(23.67) = 47.34
x+12 = 23.67 + 12 = 35.67
Therefore, the smallest angle of the triangle is 23.67 degrees.
Adding up the angles of a triangle, we get:
96 + 2x + x + 12 = 180
109 + 3x = 180
3x = 71
x = 23.67
Substitute x back into the angles to find the smallest one:
2x = 2(23.67) = 47.34
x+12 = 23.67 + 12 = 35.67
Therefore, the smallest angle of the triangle is 23.67 degrees.
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