Question

solve for x.
87°
(9x + 6)°

Explanation:

Step1: Use the property of supplementary angles

When two lines intersect, adjacent angles are supplementary (their sum is \(180^{\circ}\)). So, \(87+(9x + 6)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(9x+93 = 180\).

Step3: Isolate the term with \(x\)

Subtract 93 from both sides: \(9x=180 - 93\), which gives \(9x=87\).

Step4: Solve for \(x\)

Divide both sides by 9: \(x=\frac{87}{9}=9\).

Answer:

\(9\)