Question
The angle measures of a triangle are shown in the diagram.
What is the value of x?
*
2 points
(5x) top
(4x+7) right
74 left
A. 55
B. 21
C. 11
D. 28
What is the value of x?
*
2 points
(5x) top
(4x+7) right
74 left
A. 55
B. 21
C. 11
D. 28
Answers
GPT 3.5
In a triangle, the sum of the three angles is always 180 degrees. Therefore, we can write the equation:
(5x) + (4x+7) + 74 = 180
Combine like terms:
9x + 81 = 180
Subtract 81 from both sides of the equation:
9x = 99
Divide both sides by 9 to solve for x:
x = 11
So, the value of x is 11. Therefore, the answer is option C.
(5x) + (4x+7) + 74 = 180
Combine like terms:
9x + 81 = 180
Subtract 81 from both sides of the equation:
9x = 99
Divide both sides by 9 to solve for x:
x = 11
So, the value of x is 11. Therefore, the answer is option C.