Question

solve for x.
11)
20x
65°
75°

Explanation:

Step1: Use triangle angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \(20x + 65^{\circ}+75^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

\(20x+(65 + 75)^{\circ}=180^{\circ}\), which becomes \(20x + 140^{\circ}=180^{\circ}\).

Step3: Isolate the term with \(x\)

Subtract \(140^{\circ}\) from both sides: \(20x=180^{\circ}-140^{\circ}\), so \(20x = 40^{\circ}\).

Step4: Solve for \(x\)

Divide both sides by \(20\): \(x=\frac{40^{\circ}}{20}\).

Answer:

\(x = 2\)