Question

find the value of x.
153°
(5x)° (12x)°
x =

Explanation:

Step1: Find the supplementary angle of \(153^{\circ}\)

Supplementary angles sum to \(180^{\circ}\).
\(180^{\circ}- 153^{\circ}=27^{\circ}\)

Step2: Set up the equation for the sum of angles around a point

The sum of angles around a point \(R\) is \(360^{\circ}\). But since \(LN\) is a straight line, the sum of angles on one side of \(LN\) (which is \(180^{\circ}\)) gives: \(5x + 12x+27^{\circ}=180^{\circ}\)
Combine like - terms: \(17x+27 = 180\)
Subtract \(27\) from both sides: \(17x=180 - 27\)
\(17x=153\)

Step3: Solve for \(x\)

Divide both sides by \(17\): \(x=\frac{153}{17}\)

Answer:

\(9\)