Question
find the measures of the smallest angle of the triangle 96°, 2x, x+ 12°
Answers
GPT 3.5
In a triangle, the sum of the angles is always 180 degrees.
So, we have 96° + 2x + x + 12° = 180°.
Combining like terms, we have 109° + 3x = 180°.
Then, subtracting 109° from both sides, we have 3x = 71°.
Finally, dividing both sides by 3, we have x = 23.67°.
To find the smallest angle, we substitute the value of x back into the expression for one of the angles.
Therefore, the smallest angle is x + 12° = 23.67° + 12° = 35.67°.
So, we have 96° + 2x + x + 12° = 180°.
Combining like terms, we have 109° + 3x = 180°.
Then, subtracting 109° from both sides, we have 3x = 71°.
Finally, dividing both sides by 3, we have x = 23.67°.
To find the smallest angle, we substitute the value of x back into the expression for one of the angles.
Therefore, the smallest angle is x + 12° = 23.67° + 12° = 35.67°.