The sum of the vertical angles AOB and COD, formed at the intersection of lines AD and BC, is 108 °. Find the corner BOD.

When two straight lines intersect, adjacent corners and vertical corners are formed. The sum of two adjacent angles is 180 degrees. The vertical angles are equal to each other. The sum of all four vertical angles is 360 degrees. The sum of two vertical angles is known from the problem statement. Let’s answer the question of the problem.

one). Let’s find what the angle BOD is equal to, that is, one of the other two vertical angles formed at the intersection of straight lines AB and BC.

(360 – 108) / 2 = 126 degrees.

Answer: The BOD angle is 126 degrees.



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