A quadrilateral inscribed in a circle is called a "cyclic quadrilateral."
A quadrilateral is cyclic, only if the sum of the measures of the opposite angles is 180°.
Also, the reverse is true: If we know a quadrilateral to be cyclic, than its opposite angles must be supplementary (add up to 180°) .
Thus, we must have:
2x+(2x+4)=180
4x+4=180 (next dividing by 4:)
x+1=45
Thus, x=44, which means that the measure of angle O is 2x degrees, that is 88 degrees.
Answer: 88°
A quadrilateral is cyclic, only if the sum of the measures of the opposite angles is 180°.
Also, the reverse is true: If we know a quadrilateral to be cyclic, than its opposite angles must be supplementary (add up to 180°) .
Thus, we must have:
2x+(2x+4)=180
4x+4=180 (next dividing by 4:)
x+1=45
Thus, x=44, which means that the measure of angle O is 2x degrees, that is 88 degrees.
Answer: 88°
