Question

in figure 14, lines AB, CD, and EF intersect at o. find the measure of AOC, COF, DOE, and BOF .​​

Answer 1

Answer:

Given ∠AOE = 400 & ∠BOD = 350  Clearly ∠AOC = ∠BOD [Vertically opposite angles]  ⇒ ∠AOC = 350 Ans.  ∠BOF = ∠AOE [Vertically opposite angles]  ⇒ ∠BOF = 400 Ans.  Now, ∠AOB = 1800 [Straight angles]  ⇒ ∠AOC + ∠COF + ∠BOF = 1800 [Angles sum property]  ⇒ 350 + ∠COF + 400 = 1800  ⇒ ∠COF = 1800 - 750 = 1050  Now, ∠DOE = ∠COF [Vertically opposite angles]  ∴ ∠DOE = 1050Read more on Sarthaks.com - https://www.sarthaks.com/75026/in-figure-lines-ab-cd-and-ef-intersect-at-o-find-the-measures-of-aoc-doe-and-bof

Step-by-step explanation:

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