Question

complete the steps to find the value of x
118°
4
(8x + 6)°
10
(8x + 6)° = m∠4
(8x + 6)° = □°
8x = □
x = □

Explanation:

Step1: Find the measure of ∠4

Since ∠4 and the \(118^{\circ}\) angle are supplementary (they form a linear pair), \(m\angle4 = 180^{\circ}- 118^{\circ}=62^{\circ}\).

Step2: Set up the equation

We know that \((8x + 6)^{\circ}=m\angle4\). Substituting \(m\angle4 = 62^{\circ}\), we get \(8x+6 = 62\).

Step3: Solve for \(8x\)

Subtract 6 from both sides of the equation: \(8x=62 - 6\), so \(8x = 56\).

Step4: Solve for \(x\)

Divide both sides by 8: \(x=\frac{56}{8}=7\).

Answer:

\((8x + 6)^{\circ}=m\angle\boldsymbol{4}\)

\((8x + 6)^{\circ}=\boldsymbol{62}^{\circ}\)

\(8x=\boldsymbol{56}\)

\(x=\boldsymbol{7}\)