Answer: m∠QSR = 68°
Explanation:
m∠TSR - m∠TSQ = m∠QSR
173° - 15x = 10x - 2
Add 15x to both sides and add 2 to both sides:
175° = 25x
divide both sides by 25:
7° = x.
Now substitute 7 into the equation for x in m∠QSR = 10x - 2.
m∠QSR = 10(7) - 2
m∠QSR = 70 - 2
m∠QSR = 68°.
Quick check: 15(7)=105... 173 - 105 = 68. Checks out!