The sum of the vertical angles MOE and DOC, formed at the intersection of lines MC and D

univerkov | September 28, 2021 | education

The sum of the vertical angles MOE and DOC, formed at the intersection of lines MC and DE, is equal to 204. Find the angle MOD.

Let us denote the sought angle MOD by the letter x;

Then:

x + MOE = 180 °;

MOE = 204/2 = 102 °;

x + 102 = 180;

x = 180 – 102 = 78 °.

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