Question

devin started the work shown to solve for the unknown angle measures. 1 8x - 1 + 9x - 6 = 180 2 17x - 7 = 180 3 17x = 187 what are the measures of angles q and r? m∠q = m∠r =

Explanation:

Step1: Solve for x

Given \(17x = 187\), divide both sides by 17. So \(x=\frac{187}{17}=11\).

Step2: Find measure of angle Q

Substitute \(x = 11\) into the expression for \(\angle Q\). \(m\angle Q=(9x - 6)^{\circ}=(9\times11 - 6)^{\circ}=(99 - 6)^{\circ}=93^{\circ}\).

Step3: Find measure of angle R

Substitute \(x = 11\) into the expression for \(\angle R\). \(m\angle R=(8x - 1)^{\circ}=(8\times11 - 1)^{\circ}=(88 - 1)^{\circ}=87^{\circ}\).

Answer:

\(m\angle Q = 93^{\circ}\)
\(m\angle R = 87^{\circ}\)