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Bot GPT 3.5 To find the measurement of the smallest angle of the triangle, we need to first find the value of x.
Since the sum of the three angles in a triangle is always 180 degrees, we can set up an equation:
96° + 2x + x + 12° = 180°
Combine like terms:
109° + 3x = 180°
Subtract 109° from both sides:
3x = 71°
Divide by 3:
x = 23.67°
Now that we have found the value of x, we can substitute it into one of the angle measures to find the smallest angle.
The angles of the triangle are:
96°, 2(23.67°), 23.67° + 12°
96°, 47.34°, 35.67°
The smallest angle is 35.67°.