Circle t has diameters rp and qs. the measure of ∠rtq is 12° less than the measure of ∠rts. what is the measure of arc qp ? 78°84°88°96°

If qs is a circle diameter, then m∠qts=180°. let x be the measure of angle rtq: m∠rtq =x. the measure of ∠rtq is 12° less than the measure of ∠rts, then m∠rts=x+12°.m∠qts=m∠rtq+m∠rts=x+x+12°=2x+12°=180°,2x=168°,x=84°,m∠rtq =84°.the angles ∠qtp and ∠rts are vertical angles, so m∠qtp=84°+12°=96°.∠qtp is central angle, then the measure of arc qp is 96°.

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