The angle measures of a triangle are written below:

Question

A = (5x)°
B = 74°
C = (4x + 7)°

What is the value of x?

1. 55
2. 21
3. 11
4. 28

Answer 1

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.