Question

current skill
find the measure of angle 6.

Explanation:

Step1: Use vertical - angle relationship

Vertical angles are equal. So \(6x + 162=-7x - 7\)

Step2: Solve the equation for \(x\)

Add \(7x\) to both sides: \(6x+7x + 162=-7x+7x - 7\), \(13x+162=-7\)
Subtract \(162\) from both sides: \(13x+162 - 162=-7 - 162\), \(13x=-169\)
Divide both sides by \(13\): \(x=\frac{-169}{13}=-13\)

Step3: Find the measure of angle \(6\)

Substitute \(x =-13\) into \(6x + 162\)
\(6\times(-13)+162=-78 + 162 = 84\)

Answer:

\(84\)