Question

q t (9x - 6)° (8x - 1)° r s 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 \( x \) from \( 17x = 187 \)

To find \( x \), divide both sides of the equation \( 17x = 187 \) by 17.
\( x=\frac{187}{17}=11 \)

Step2: Calculate \( m\angle Q \)

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

Step3: Calculate \( m\angle R \)

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

Answer:

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