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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.

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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

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User Undrium
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