Lines and intersect at

MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines EFEF and GHGH intersect at OO. The four angles around OO are given by ∠EOG=(6y−4)∘\angle EOG = (6y - 4)^{\circ}, ∠GOF=(7y−6)∘\angle GOF = (7y - 6)^{\circ}, ∠FOH=(3y+20)∘\angle FOH = (3y + 20)^{\circ}, and ∠HOE=(5y+10)∘\angle HOE = (5y + 10)^{\circ}. Find the value of yy. (a) 66 (b) 88 (c) 77 (d) 99

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