The measures of the angles of a triangle are shown in the figure below. Solve for x.

Question

(4x+4)°
65°
79°
Answer

Answer 1

To find the value of \( x \), we need to use the fact that the sum of the measures of the angles in a triangle is always \( 180^\circ \).

Given the angles:

1. \( (4x + 4)^\circ \)
2. \( 65^\circ \)
3. \( 79^\circ \)

We can set up the equation: \[ (4x + 4) + 65 + 79 = 180 \]

Now, combine the constant terms: \[ (4x + 4) + 144 = 180 \]

Next, simplify: \[ 4x + 148 = 180 \]

Now, subtract \( 148 \) from both sides: \[ 4x = 180 - 148 \] \[ 4x = 32 \]

Now, divide both sides by \( 4 \): \[ x = \frac{32}{4} = 8 \]

Thus, the value of \( x \) is \( \boxed{8} \).