The angle measures of a triangle are shown in the diagram.
What is the value of x?
Image: Top corner: (5x) degrees. Left corner: 74 degrees. Right corner: (4x+7) degrees.
A. 55
B. 21
C. 11
D. 28
The sum of the angles in a triangle is always 180 degrees.
So, we can write the equation:
(5x) + 74 + (4x + 7) = 180
Combine like terms:
9x + 81 = 180
Subtract 81 from both sides:
9x = 99
Divide by 9:
x = 11
Therefore, the value of x is 11.
The correct answer is C. 11.