The two corners of the quadrilateral are 110 degrees and 120 degrees.
| March 8, 2021 | education
The two corners of the quadrilateral are 110 degrees and 120 degrees. Find the rest of the corners of the quadrilateral, if it can be inscribed in a circle.
Since a quadrilateral can be inscribed in a circle, the sum of the opposite angles of such a quadrangle is 180.
Then the unknown angles will be equal: ∠1 = 180 – 110 = 70, ∠3 = 180 – 120 = 60.
Answer: The unknown angles are 70 and 60.
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