In the figure given alongside, ∠ACB = 50°, ∠DEC = 4x° and ∠ADE = 3x°. What is the value of x? (A) 10° (B) 40° (C) 45° (D) 50° Share with your friends Share 2 Amit Shukla answered this Dear Student, In △ABC∠A+∠B+∠C=180° (angle sum property)∠A+90°+50°=180°∠A=180°-140°=40°Now,∠AED+∠DEC=180° (Linear pair)∠AED+4x°=180°∠AED=180°-4x°and,In △ADE∠A+∠ADE+AED=180° (angle sum property)40°+3x°+180°-4x°=180°220°-x=180°-x=180°-220°x=40°So, option B is correct. Hope, you will find this answer helpful. 2 View Full Answer