SOLUTION: ABCD is a parallelogram with angle a= 80 degrees.the internal bisectors of angle b and c meet at o. find angle BOC

Question 1081968: ABCD is a parallelogram with angle a= 80 degrees.the internal bisectors of angle b and c meet at o. find angle BOC
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

In a parallelogram ABCD, angles A and C are congruent,
and angles B and D are supplementary to angle A.
In this case, it means that the parallelogram's
angle at B (ABC) measures ,
and the angle at C (BCD) measures .
We know how to fight our the measures
of two of the angles in triangle BCO:
Angle OBC is one half of ABC,
so it measures .
Angle OCB is one half of BCD,
so it measures .
Angle BOC is the third angle in the triangle.
It's measure is

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