# 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 °.