The sum of the vertical angles MOE and DOC, formed at the intersection of straight lines MC and DE, is 140 degrees. Find the angle MOE.
The vertical angles at the intersection of straight lines are equal, then the angle MOE = DОС.
By condition, the sum of the angles MOE + DOE = 140, then MOE = DOC = 140/2 = 70.
The angle MOD is adjacent to the angle MOE, the sum of which is 180, then the angle MOD = (180 – 70) = 110.
Answer: The angle MOD is 110.
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