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Find the value of x of this anglehope u give the correct answer​

Answer» <html><body><h3>Solution :-</h3><p>The <a href="https://interviewquestions.tuteehub.com/tag/given-473447" style="font-weight:bold;" target="_blank" title="Click to know more about GIVEN">GIVEN</a> <a href="https://interviewquestions.tuteehub.com/tag/figure-987693" style="font-weight:bold;" target="_blank" title="Click to know more about FIGURE">FIGURE</a> is a pentagon as it has 5 sides. </p><p></p><p><strong><u><a href="https://interviewquestions.tuteehub.com/tag/concept-928138" style="font-weight:bold;" target="_blank" title="Click to know more about CONCEPT">CONCEPT</a></u></strong><strong><u> <a href="https://interviewquestions.tuteehub.com/tag/used-2318798" style="font-weight:bold;" target="_blank" title="Click to know more about USED">USED</a></u></strong><strong><u>:</u></strong></p><p>Sum of all angles in a pentagon = 540°</p><p></p><p><strong><u>Step-by-step explanation:</u></strong></p><p>(Refer attachment)</p><p>By <strong>Linear pair</strong> of angles,</p><p> ∠BAF + ∠EAB = 180°</p><p>→ 50° + ∠EAB = 180°</p><p>→ ∠EAB = 180° - 50°</p><p>→ <strong>∠</strong><strong>E</strong><strong>A</strong><strong>B</strong><strong> = 130°</strong></p><p></p><p>Now we have found out 4 interior angles of the pentagon.</p><p>For the remaining <a href="https://interviewquestions.tuteehub.com/tag/one-585732" style="font-weight:bold;" target="_blank" title="Click to know more about ONE">ONE</a>;</p><p>Again by Linear pair of angles,</p><p>∠DEA + ∠DEG = 180°</p><p>→ ∠DEA + 60° = 180°</p><p>→ ∠DEA = 180° - 60°</p><p>→ <strong>∠DEA = 120°</strong></p><p></p><p></p><p>Now, since we obtained all interior angles of the pentagon, their sum must be equal to 540°</p><p></p><p>∠EAB + ∠ABC + ∠BCD + ∠CDE + ∠DEA = 540°</p><p>→ 130° + x + 40° + x + 120° = 540°</p><p>→ 2x + 290° = 540°</p><p>→ 2x = 540° - 290°</p><p>→ 2x = 250°</p><p>→ x = 250° ÷ 2</p><p>→ <strong>x = 125°</strong></p><p></p><p><strong>∴ The value of x is <u>125°</u></strong></p></body></html>


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