A quadrilateral ABCD is inscribed in a circle with a diameter AD. Find the value of the angle ABC
| September 4, 2021 | education
A quadrilateral ABCD is inscribed in a circle with a diameter AD. Find the value of the angle ABC, if the angle CAD = 30 degrees
Since the quadrilateral is inscribed in a circle, the sum of its opposite angles is 180.
Angle ABC + ADC = 180.
The ACD triangle is rectangular, since the ACD angle is based on the diameter of the circle, then the ADC angle = (180 – 90 – 30) = 60.
Angle ABC = 180 – ADC = 180 – 60 = 120.
Answer: Angle ABC is 120.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
