Question

114° 5f° 31° f = ____

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, we have the equation $5f + 114+31 = 180$.

Step2: Simplify the left - hand side of the equation

$5f+145 = 180$.

Step3: Isolate the variable term

Subtract 145 from both sides: $5f=180 - 145$.
$5f = 35$.

Step4: Solve for f

Divide both sides by 5: $f=\frac{35}{5}$.

Answer:

7