1.

23. of the three angles of a triangle, frstisthird of the third angle and secondmore than the third. Then, whielhfollowing is correct ?(a) The shortest angle is 22°(b) The largest angle is 92°(c) Both (a) and (b)(d) of the aboveof their

Answer»

Let the first angle =∠A =xthe second angle =∠B = 1/3xand the third angle =∠C = x + 26°∠A +∠B +∠C = 180° x + 1/3x + x+26° = 180°7x/3 + 26° = 180° 7x/3 = 180° - 26° 7x/3 = 154° x = 154° x 3/7x = 66°∠A = x= 66°∠B =1/3 x = 1/3 x 66° = 22°∠C = x + 26° = 66°+ 26° = 92°

option cboth a and b



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