Question

Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 6, ST = 9, TU = 7, UV = 15, and VR = 14? 1.5 3 10 4.5
PLEASE HELPPPPP

Answer 1

Step-by-step explanation:

Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 6, ST = 9, TU = 7, UV = 15, and VR = 14?

• Given  
• Now Inside a pentagon a circle is circumscribed.
• So we have going round from starting we get
• RS = 6 – x
• ST = 9 – (6 – x)
•     = 3 + x
• TU = 7 – (3 + x)
•      = 4 – x
• UV = 15 – (4 – x)
•      = 11 + x
• VR = 14 – (11 + x)
•      = 3 – x
• Now x = 3 – x
• Or 2x = 3
• Or x = 3/2  = 1.5