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<html><body><h2 id="content-id-4032698715-2"><b>Geometry Questions Overview</b></h2><p>Geometry Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Geometry Questions.</p><h2 id="content-id-1604759832-3"><b>Question On Geometry </b></h2>In a triangle HJK, HJ = HK. G is a point on HJ such that HG = GK = JK. What is the degree measure of two-third of (∠HGK + ∠GKJ)?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 34 Seconds </h3></div></div><h2 id="content-id-6301482957-4"><b> Geometry Questions Options</b></h2><ol><li><p>96°</p>
</li><li><p>84°</p>
</li><li><p>90°</p>
</li><li><p>136°</p>
</li></ol> <h2 id="content-id-2693485071-5"><b> Geometry Questions Solution</b></h2><p>The correct answer is <strong>option 1</strong> i.e. <strong>96°</strong>.</p>

<p>The sum of the interior angles of a triangle is 180°.</p>

<p><img loading="lazy" alt="" src="https://www.testranking.in/admin/assets/uploads/ckeditor/CGL%20PY%2030_28-01-2025_D47.png"></p>

<p>ΔHJK is an isosceles triangle where HJ = HK</p>

<p>Also, HG = GK = JK</p>

<p>Let, ∠KHG = ∠GKH = y</p>

<p>So, ∠KGJ = 2y   [Exterior angle of ΔHGK]</p>

<p>Now, GK = JK</p>

<p>So, ∠KGJ = ∠GJK = 2y</p>

<p>Also, HJ = HK then, ∠GJK = ∠HJK = ∠JKH = 2y</p>

<p>In ΔHJK, ∠KHG + ∠HJK + ∠JKH = 180°</p>

<p>⇒ y + 2y + 2y = 180°</p>

<p>⇒ 5y = 180°</p>

<p>⇒ y = 180°/5 = 36°</p>

<p>∠HGK = 180° - ∠KGJ = 180° - 2 × 36° = 180° - 72° = 108°</p>

<p>∠GKJ = ∠JKH - ∠GKH = 2y - y = y = 36°</p>

<p>Now, (2/3) of (∠HGK + ∠GKJ) = (2/3) × (108° + 36°) = (2/3) × 144° = 96°</p>

<p>Therefore, the required value is 96°.</p>
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The correct answer is option 1 i.e. 96° - Geometry Questions are asked in Ssc Chsl exams and your question has been explained by experts like Neetu Mam.

In a triangle HJK HJ H - Geometry Questions for Ssc Chsl

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