Answer:
∠RPQ = 105
∠R = 45
Explanation:
Question 1
By intersecting chord theorem ? = (175 + 35) / 2
? = (175 + 35) / 2
? = 210 / 2
? = 105
(See image below)
Question 2
By intersecting secant theorem ∠R = (140 - 50)/2
∠R = (140 - 50)/2
∠R = 90/2
∠R = 45
(See image below)
Intersecting chord theorem : Corresponding angle equals sum of corresponding arcs divided by two
Intersecting secant theorem : The inscribed angle equals major arc minus minor arc divided by two