Question

Please i need someone to help me here​

Answer 1

See below ~

Explanation:

7

• ∠EOF = 180 - 126
• ∠EOF = 54°

• ∠BOF = ∠COE
• ∠COE = 126°
• ∠COE = 2∠DOE
• ∠DOE = 126/2
• ∠DOE = 63°

• ∡DEF = ∠DOE + ∠EOF
• ∡DEF = 63° + 54°
• ∡DEF = 117°

8

• ∠DOE = 63°

9

• ∠BOC = ∠EOF (vertically opposing angles)
• ∠BOC = 54°

• ∠BOD = ∠BOC + ∠COD
• ∠BOD = 54° + 63°
• ∠BOD = 117°

10

• ∠BDF (major angle) = ∠BOC + ∠COD + ∠DOE + ∠EOF
• ∠BDF = 2∠BOC + 2∠COD
• ∠BDF = 2(54) + 2(63)
• ∠BDF = 108 + 126
• ∠BDF = 234°

• ∡BDF = ∠BDF (major angle)
• ∡BDF = 234°

11

• The 5 radii are : OB, OC, OD, OE, OF