Question

8.

∠jkm = 4x + 5
∠mkl = 6x + 15
∠jkl is a straight angle

find x

Explanation:

Step1: Set up the equation

Since \(\angle JKL\) is a straight angle (\(180^{\circ}\)), and \(\angle JKM+\angle MKL = \angle JKL\), we have \((4x + 5)+(6x + 15)=180\).

Step2: Simplify the left - hand side

Combine like terms: \(4x+6x+5 + 15=180\), which simplifies to \(10x+20 = 180\).

Step3: Solve for \(x\)

Subtract \(20\) from both sides: \(10x=180 - 20\), so \(10x=160\). Then divide both sides by \(10\): \(x=\frac{160}{10}\).

Answer:

\(x = 16\)