One angle of a trapezoid inscribed in a circle is 70 degrees. The rest are 70 degrees, 110 degrees
| September 7, 2021 | education
One angle of a trapezoid inscribed in a circle is 70 degrees. The rest are 70 degrees, 110 degrees and 110 degrees. What is this trapezoid
The first way.
If a circle is described near a trapezoid, then such a trapezoid is isosceles.
Second way.
If a circle is described around a quadrilateral, then the sum of its opposite angles is 180.
70 +110 = 180.
Since the angles at the bases AD and BC are equal, the quadrilateral ABCD is an isosceles trapezoid.
Answer: Trapezium ABCD is isosceles.
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