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10. In isosceles triangle FGH shown below, FH FG and FG has been extended through F to point E. If themeasure of angle EFH is equal to a, then what is the measure of ZH in terms of a? Explain or justify how youfound your answer.

User Hncl
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1 Answer

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The base angles of H and G are equal (base angles of an Isosceles triangle are equal)

Thus H=G.


\begin{gathered} H+G=a\text{ (}the\text{ exterior angle of a triangle is equal to the sum of the two opposite interior angles} \\ H+G=a \\ H+H=a \\ 2H=a \\ H=(a)/(2) \end{gathered}

Hence, the value of H, in terms of 'a' is half of a

User Undrium
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