Find the interior angle KGH.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Find the interior angle $\angle KGH$.
The angles $\angle KGF$ and $\angle KGH$ form a linear pair on the straight line JGF.
Therefore, their sum is $180^\circ$.
$$ \angle KGH + \angle KGF = 180^\circ $$
$$ \angle KGH + 110^\circ = 180^\circ $$
$$ \angle KGH = 180^\circ - 110^\circ $$
$$ \angle KGH = 70^\circ $$
Step 2: Apply the sum of angles in $\triangle JLG$.
Consider the triangle $\triangle JLG$. The angles are $\angle LJG$, $\angle JLG$,
