<prompt> Alama tofauti A na B ziko kwenye nusu duara yenye kipenyo cha MN na kituo cha C. Pointi P iko kwenye CN na angle CAP angle CBP 10circ. Ikiwa arc MA ni sawa na 40circ, basi tafuta arc BN katika digrii.asykuagiza jiometri;kuagiza grafu;ukubwa wa kitengo 2 cm;jozi A, B, C, M, N, P;M -1,0;N 1,0;C 0,0;A dir140;B dir20;P uganiA, A zungusha10C - A, B, B zungusha10C - B;kuchoraM--N;choraarcC,1,0,180;choraA--C--B;choraA--P--B;leboA, A, NW;leboB, B, NE;leboC, C, S;leboM, M, SW;leboN, N, SE;leboP, P, S;asy  <response>: Kwa kuwa angle CAP pembe CBP 10circ, quadrilateral ABPC ni mzunguko.asykuagiza jiometri;kuagiza grafu;ukubwa wa kitengo 2 cm;jozi A, B, C, M, N, P;M -1,0;N 1,0;C 0,0;A dir140;B dir20;P uganiA, A zungusha10C - A, B, B zungusha10C - B;kuchoraM--N;choraarcC,1,0,180;choraA--C--B;choraA--P--B;choraA--B;choramduaraA,B,C,iliyokatika;leboA, A, W;leboB, B, E;leboC, C, S;leboM, M, SW;leboN, N, SE;leboP, P, S;asyKwa kuwa angle ACM 40circ, angle ACP 140circ, hivyo angle ABP 40circ. Kisha angle ABC pembe ABP - pembe CBP 40circ - 10circ 30circ.Kwa kuwa CA CB, pembetatu ABC ni isosceles, na angle BAC pembe ABC 30circ. Kisha angle BAP angle BAC - angle CAP 30circ - 10circ 20circ. Kwa hivyo, angle BCP pembe BAP 20circ. 