Question

the measures of the angles of a triangle are shown in the figure below. solve for x. (4x + 4)° 65° 79° answer attempt 1 out of 3 x =

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we set up the equation $(4x + 4)+65 + 79=180$.

Step2: Simplify the left - hand side

Combine like terms: $4x+(4 + 65+79)=4x + 148$. So the equation becomes $4x+148 = 180$.

Step3: Isolate the term with x

Subtract 148 from both sides of the equation: $4x=180 - 148$. So, $4x = 32$.

Step4: Solve for x

Divide both sides by 4: $x=\frac{32}{4}$.

Answer:

$x = 8$