Given: circle k(O), m∠A=(x+45)°, m KE =(x+20)°, m EW =(3x)° Find: m KW . HELP ASAP WILL GIVE BRAINLIEST!

Answer:160°Step-by-step explanation:We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).that would mean that Angle KAW is half of measure of Arc KW. Thus we can write:m∠A = 0.5 (arc KE + arc EW)x+45 =0.5 (x+20+3x)x+45 = 0.5(4x+20)x+45 = 2x + 1045 - 10 = 2x - xThus, x = 35Since Arc KW = Arc KE + Arc EW and x = 35, we can say:Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°