In the diagram above, EFGH is a cyclic quadrilateral in which EH//FG, EG and FH are chords. If \( \angle FHG = 42^\circ \) and \( \angle EFH = 34^\circ \), ...
Question 1 Report
In the diagram above, EFGH is a cyclic quadrilateral in which EH//FG, EG and FH are chords. If \( \angle FHG = 42^\circ \) and \( \angle EFH = 34^\circ \), calculate \( \angle HEG \)
Answer Details
∠EFH = ∠EGH(∠s in same segment)
= 34
∠HEG = ∠HFG(∠s in same segment)
= X
also ∠HFG = ∠EHF (alternate ∠s)
But ∠EHG + ∠EFG =180(opp sof a cyclic quad)
42 + x + 34 + x = 180
2x + 76 = 180
2x = 180 - 76
2x = 104
x = 52
= 34
∠HEG = ∠HFG(∠s in same segment)
= X
also ∠HFG = ∠EHF (alternate ∠s)
But ∠EHG + ∠EFG =180(opp sof a cyclic quad)
42 + x + 34 + x = 180
2x + 76 = 180
2x = 180 - 76
2x = 104
x = 52
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