Angle abd measures (4x + 10)o. angle acd measures (5x − 2)o. what is the measure of arc ad? 12° 58° 96° 116°

Abd and acd are inscribed angles(angles formed by 3 points in a circle) intercepting the same arc, ad, so by an well-known property, their measures are equal.5x-2°=4x+10°          x=12°so to find the measure of the angle abd(=m(acd)) substitute x in any of 5x-2 or 4x+10. in both cases we get m(abd)=58°the measure of the arc ad is twice the measure of the inscribed arc abd, so the measure of arc ad is 116.hope it