Question

find m∠jki.
answer attempt 1 out of 2
m∠jki = °

Explanation:

Step1: Identify triangle type

The triangle has two equal - length sides (marked with the same tick marks), so it is an isosceles triangle. In an isosceles triangle, the base - angles are equal.

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let $\angle{JKI}=x$. We know that $\angle{J} = 86^{\circ}$ and $\angle{I}=\angle{JKI}=x$ (base - angles of isosceles triangle). So, $x + x+86^{\circ}=180^{\circ}$.

Step3: Solve the equation

Combining like terms, we get $2x+86^{\circ}=180^{\circ}$. Subtract 86° from both sides: $2x=180^{\circ}-86^{\circ}=94^{\circ}$. Then divide both sides by 2: $x = 47^{\circ}$.

Answer:

$47$