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Quadrilateral OPQR is inscribed in circle N, as shown below, what is the measure of angle ROP. O(x+17),Q(6x-5),R(2x+19)

Roger Moore

in Mathematics

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Dana Keller on August 3, 2018

the opposite angles of a quadrilateral inscribed in a circle are supplementary (add to 180º)In this quadrilateral, the point O and the point P are opposite to each other, that is to say, that add up to 180 degreesSo, Or+Q=180x+17 + 6x-5 =1807x+12=1807x=168x=24you are trying to find the measure of the angle ROP, and this is the same as the angle Or which was given to x+17But now you know that x is 24 degrees, so x+17 = 24+17 = 41 degrees


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