The two angles of a quadrilateral inscribed in a circle are 132 degrees and 20 degrees. Find the largest angle
| July 28, 2021 | education
It is known that a quadrilateral can be inscribed in a circle if the sum of its opposite angles is 180 °.
In a given quadrangle, the angles 132 ° and 20 ° are adjacent (since 132 ° + 20 ° ≠ 180 °).
Find the rest of the corners of the shape.
180 ° – 132 ° = 48 °.
180 ° – 20 ° = 160 °.
Among the angles 132 °, 20 °, 48 ° and 160 °, the largest angle has a degree measure of 160 °.
Answer: 160 °.
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.
