Question
The angle measures of a triangle are written below:
A = (5x)°
B = 74°
C = (4x + 7)°
What is the value of x?
1. 55
2. 21
3. 11
4. 28
A = (5x)°
B = 74°
C = (4x + 7)°
What is the value of x?
1. 55
2. 21
3. 11
4. 28
Answers
GPT 3.5
To find the value of x, we need to use the fact that the sum of the angles in a triangle is always 180°.
So, we can set up the equation:
A + B + C = 180
Substituting the given angle measures:
(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 correct answer is 3. 11.
So, we can set up the equation:
A + B + C = 180
Substituting the given angle measures:
(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 correct answer is 3. 11.