The angle measures of a triangle are shown in the diagram.
What is the value of x?
Unfortunately, there is no diagram provided in the question. Please provide the diagram or any relevant information for us to determine the value of x.
5x 74 and 4x+7
To find the value of x, we can set up an equation using the information given in the question, which states that the angle measures of a triangle add up to 180 degrees.
The angles are given as:
Angle 1: 5x
Angle 2: 74
Angle 3: 4x + 7
Using the information that the sum of the angle measures of a triangle is 180 degrees, we can write the equation:
5x + 74 + 4x + 7 = 180
Combining like terms:
9x + 81 = 180
Next, we can isolate x by subtracting 81 from both sides of the equation:
9x = 180 - 81
9x = 99
Finally, we can solve for x by dividing both sides of the equation by 9:
x = 99/9
x = 11
Therefore, the value of x is 11.