Question

f =
______
blank 1:

Explanation:

Step1: Recall angle - sum property of a straight - line

The sum of angles on a straight - line is 180°.

Step2: Set up the equation

Let the angle \(F\) be the unknown angle. We know that \(30^{\circ}+F + 20^{\circ}=180^{\circ}\).

Step3: Solve for \(F\)

First, simplify the left - hand side of the equation: \(30^{\circ}+ 20^{\circ}+F=50^{\circ}+F\). Then, we have \(50^{\circ}+F = 180^{\circ}\). Subtract \(50^{\circ}\) from both sides: \(F=180^{\circ}-50^{\circ}\).
\(F = 130^{\circ}\)

Answer:

\(130^{\circ}\)