Question

question
find ( mangle hji ).
answer
attempt 2 out of 3
( mangle hji = ) 58
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Explanation:

Step1: Identify equal sides/angles

Sides $\overline{JI}$ and $\overline{IH}$ are congruent, so $\angle H = \angle J$. Wait, no: $\angle H = 64^\circ$, so the base angles are $\angle HJI$ and $\angle HIJ$.

Step2: Sum of triangle angles is $180^\circ$

Let $m\angle HJI = x$. Then $x + x + 64^\circ = 180^\circ$

Step3: Solve for $x$

$2x = 180^\circ - 64^\circ = 116^\circ$
$x = \frac{116^\circ}{2} = 58^\circ$

Answer:

$58^\circ$