The quadrilateral is inscribed in a circle. The ABD angle is 69 degrees, the CAD angle is 67 degrees. Find the angle ABC.
| January 6, 2021 | education
Angle ABC is the sum of two angles: ABC = AВD + СВD. The AВD angle, by condition, is equal to 690, we determine the value of the СВD angle.
The inscribed СВD angle rests on the СD chord, but the САD angle also rests on the same chord, then the СВD angle = САD = 67.
Determine the value of the angle ABC.
ABC = 69 + 67 = 136.
Answer: Angle ABC is 136.
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