The quadrilateral ABCD is inscribed in a circle. The ABC angle is 145, the DAC angle is 60. Find the degree measure ACD.
| September 8, 2021 | education
Since the quadrilateral is inscribed in a circle, the sum of its opposite angles is 180.
Angle ABC + ADC = 180.
Angle ADC = 180 – ABC = 180 – 145 = 35.
In the ACD triangle, the angle ACD = 180 – CAD – ADC – 180 – 60 – 35 = 85.
Answer: Angle ACD is 85.
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