in the figure given below a n is equal to AC angle BAC is equal to 52 degree angle is equal to 84 degree and BC came is a straight line prove that n b is equal to N C Share with your friends Share 3 Neha Sethi answered this In △ANC , given AN=AC⇒∠ANC=∠ACN ...i angles opposite to equal sides are equal.Now ,∠ANC+∠ACN+∠NAC=180° angle sum property of △⇒2∠ACN+52°=180° using i and given ∠NAC=52°⇒2∠ACN=128°⇒∠ACN=64°So, ∠ANC=∠ACN=64°Now ∠ACK+∠ACN+∠NCB=180° Linear pair⇒84°+64°+∠NCB=180° given∠ACK=84° ⇒∠NCB=180°-148°⇒∠NCB=32°Also, ∠ANC+∠CNB=180° Linear pair⇒64°+∠CNB=180°⇒∠CNB=116°Now consider NBC∠NBC+∠CNB+∠NCB=180° angle sum property of △⇒∠NBC+116°+32°=180°⇒∠NBC=180°-148°=32°Now ∠NBC=∠NCB=32°⇒NB=NC sides opposite to equal angles are equal.Hence Proved. 6 View Full Answer Iron Man answered this dfgyjh -1 Akankhya Panda answered this nb=nc because triangle nbc is a equilateral triangle and these triangles have three sides equal 1