Answer:
m<RPS = 125°
Explanation:
Given interior angles,
→ <RPQ = 150°
→ <QPS = 85°
→ <RPS = ( ? )
Now we have to,
→ Find the required value of m<RPS.
We know that,
→ Sum of interior angles of a circle is 360°.
Formula we use,
→ <RPS + <RPQ + <QPS = 360°
Let us assume that,
→ <RPS = x
Forming the equation,
→ x + 150° + 85° = 360°
Then the value of x will be,
→ x + 150° + 85° = 360°
→ x + 235° = 360°
→ x = 360° - 235°
→ [ x = 125° ]
Hence, the value of x is 125°.