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Find the interior angle KGH.

Mathematics

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  1. Find the interior angle ∠KGH\angle KGH.

    The angles ∠KGF\angle KGF and ∠KGH\angle KGH form a linear pair on the straight line JGF.
    Therefore, their sum is 180∘180^\circ.

    ∠KGH+∠KGF=180∘\angle KGH + \angle KGF = 180^\circ ∠KGH+110∘=180∘\angle KGH + 110^\circ = 180^\circ ∠KGH=180∘−110∘\angle KGH = 180^\circ - 110^\circ ∠KGH=70∘\angle KGH = 70^\circ

  2. Apply the sum of angles in △JLG\triangle JLG.

    Consider the triangle △JLG\triangle JLG. The angles are ∠LJG\angle LJG, ∠JLG\angle JLG,

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