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