Question
The angle measure of a triangle are shown in the diagram. 95° (3x + 4)° (4x - 3)° what is the value of x?
Answers
GPT 3.5
To find the value of x, we can set up an equation based on the fact that the sum of the angles in a triangle is 180 degrees.
So we can write the equation: 95 + (3x + 4) + (4x - 3) = 180.
Simplifying the equation:
95 + 3x + 4 + 4x - 3 = 180.
Combining like terms:
7x + 96 = 180.
Subtracting 96 from both sides:
7x = 84.
Dividing both sides by 7:
x = 12.
Therefore, the value of x is 12.
So we can write the equation: 95 + (3x + 4) + (4x - 3) = 180.
Simplifying the equation:
95 + 3x + 4 + 4x - 3 = 180.
Combining like terms:
7x + 96 = 180.
Subtracting 96 from both sides:
7x = 84.
Dividing both sides by 7:
x = 12.
Therefore, the value of x is 12.