Answer:
x=24.75
Explanation:
Remember that the sum of all the angles in a triangle equal 180°. So, m∠PQR+m∠RPQ+m∠QRS=180°. Substitute the expressions given for each angle measure and solve:
(2x+6)°+(x-7)°+(5x-17)°=180°
(2x+6+x-7+5x-17)°=180°
(2x+x+5x+6-7-17)°=180°
(8x-18)°=180°
8x°-18°=180°
(8x°-18°)+18°=(180°)+18°
8x°=198°
x=24.75