In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG and FH are ...
Question
In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG and FH are chords. If < FHG = 424\(^{\circ}\) and < EFH = 34\(^{\circ}\)
Options
A) 34\(^{\circ}\)
B) 42\(^{\circ}\)
C) 52\(^{\circ}\)
D) 76\(^{\circ}\)
The correct answer is C.
Explanation:
< EFH = < EGH = 34\(^{\circ}\) (angles n the same segment)
< GHF = < GEF = 42\(^{\circ}\)(angles in the same segment)
< FOG = 42 + 34 = 76(exterior angle)
< FOG = < EOH = 76(vertically opposite angle)
< EDO = 90\(^{\circ}\), < DOE = \(\frac{76}{2}\) = 38\(^{\circ}\)
< HEG = 90\(^{\circ}\) - 38\(^{\circ}\) = 52\(^{\circ}\)
More Past Questions:
Dicussion (1)
Other Subjects
- English Language
- Biology
- Government
- Physics
- Chemistry
- Economics
- Christian Religious Knowledge
- Commerce
- Geography
- Literature In English
- Accounts
- Agricultural Science
- General Paper
- Islamic Religious Knowledge
- History
- Further Mathematics
- Current Affairs
- Civic Education
- Computer Studies
- Yoruba
- Hausa
- Igbo
- French
- Home Economics
- Sweet Sixteen
- Fine Arts
< EFH = < EGH = 34\(^{\circ}\) (angles n the same segment)
< GHF = < GEF = 42\(^{\circ}\)(angles in the same segment)
< FOG = 42 + 34 = 76(exterior angle)
< FOG = < EOH = 76(vertically opposite angle)
< EDO = 90\(^{\circ}\), < DOE = \(\frac{76}{2}\) = 38\(^{\circ}\)
< HEG = 90\(^{\circ}\) - 38\(^{\circ}\) = 52\(^{\circ}\)