Question

10. In triangle JKL, what is themL]LK if JL = JK?

Answer 1

As one can see, this is an Isosceles triangle; therefore, the angles between the legs and the base are congruent. Since JL and JK are congruent, those are the legs of the triangle and

$\Rightarrow\angle JLK\cong\angle JKL$

Furthermore, the sum of the inner angles of a triangle is equal to 180°; thus

$\begin{gathered} 180=55+\angle JLK+\angle JKL \\ \Rightarrow125=2\angle JLK \\ \Rightarrow\angle JLK=62.5 \\ \text{and} \\ \Rightarrow\angle JKL=62.5 \end{gathered}$

The answer is that angles