To find the value of x, we need to set up an equation based on the given information.
We know that the sum of the angles in a triangle is always 180 degrees.
Therefore, we can set up the equation:
angle A + angle B + angle C = 180
Since angle A is given as 5x, angle B is given as 74, and angle C is given as 4x+7, we can substitute these values into the equation:
5x + 74 + 4x + 7 = 180
Combining like terms:
9x + 81 = 180
Subtracting 81 from both sides:
9x = 99
Dividing both sides by 9:
x = 11
Therefore, the value of x is 11.
The angle measures of a triangle are shown in the diagram.
What is the value of x?
A angle is 5x
B angle 74
C angle is 4x+7
1 answer