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In the diagram, GI is a tangent to the circle at H. If EF//GI, calculate...

Mathematics
WAEC 2010

In the diagram, GI is a tangent to the circle at H. If EF//GI, calculate the size of < EHF
  • A. 126o
  • B. 72o
  • C. 64cmo
  • D. 32cmo
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Correct Answer: Option B
Explanation
F = 54o (Alternate triangle angles)

< GHE = F = 54o(Angle between a chord and a tangent = angles in the alternate segment)

Now, < GHE + < EHF + < IHF = 180o(Angles on a straight line)

54o + < EHF + 54o = 180o

< EHF = 180o - 108o

= 72o

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