# Lines AB and CD meet at point O. Angle AOC is 58. Find the angle BOD.

January 14, 2021 | education

| From the condition it is known that lines AB and CD meet at point O. It is also known that the angle AOC is 58 °. We need to find the degree measure of the BOD angle.

So, if we draw a drawing, we can see that the AOC and BOD angles are vertical angles.

Let’s remember the definitions of vertical angles.

Vertical corners are pairs of corners with a common vertex that are formed when two straight lines intersect so that the sides of one corner are a continuation of the sides of the other.

When two straight lines intersect, we have two pairs of vertical angles and they are equal to each other.

Hence the angle BOD = angle AOC = 58 °.

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