Answer:
a. 140°
b. 230°
Explanation:
In Circle
m arc PTR=180° Being linear Pair
m arc PU+ m arc UT + m arc TS+m arc SR=180°
substituting value
40°+ m arc UT+40°+50°=180°
m arc UT=180°-130°
m arc UT=50°
Now for question
a.
m arc RSU= m arc TU+m arc TS+m arc SR=50°+40°+50°=140°
b.
we have
m arc RQ=m arc PQ=90° being right angle reflective
Now
m arc PQS= m arc PQ+ m arc QR+m arc RS=90°+90°+50°=230°