The angle measures of a triangle are shown in the diagram.
What is the value of x?
*
2 points
a triangle with one corner saying (5x)degrees
another corner with74degrees
and the last corner having (4x+7)degrees
A. 55
B. 21
C. 11
D. 28
To find the value of x, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.
Therefore, we can write 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
Thus, the value of x is 11.
Answer: C. 11