Question

find the value of x.
120°
(2x - 10)°
x =

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\). So, \(120+(2x - 10)=180\).

Step2: Simplify the equation

First, simplify the left - hand side: \(120+2x-10 = 2x + 110\). The equation becomes \(2x+110 = 180\).

Step3: Solve for \(x\)

Subtract \(110\) from both sides: \(2x=180 - 110\), so \(2x = 70\). Then divide both sides by \(2\): \(x=\frac{70}{2}\).

Answer:

\(35\)