A quadrilateral ABCD is inscribed in a circle. angle B = 60 degrees. Find the angle D.

The opposite angle for angle B will be the angle D. The sum of the opposite angles B and D must be equal to 180 ° (a property of quadrangles inscribed in a circle). We make an equation for the angles:

<B + <D = 180 °;

<D = 180 ° – <B = 180 ° – 60 ° = 120 °.

Answer: <D = 120 °.



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