Question

12. Given that point S is the incenter of right triangle PQR and angle RQS is 30°) what are the measures of angles RSQ and RPQ? 309 R​

Answer 1

Answer:

RPQ=60° and RSQ=120°

Step-by-step explanation:

RQS=30°_(Given)

PRQ=90°_(Given)

PRQ+RQS+RPQ=180°_(Angle sum property)

90°+30°+RPQ=180°

90°+30°=120°,180°-120°=60°

RPQ=60°

RSQ=120°

Q= Angle bisector=30/2 =15°

R=Angle bisector= 90/2=45°

45°+15°=60°

180°-60°=120°

Therefore,RSQ=120°