two angles of a triangle are in the ratio of 8:9 and third angle is 27°. Find all the angles in grades. ans 80 grades and 90 gr

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1. Given:–

   ● Two angles of a triangle are in the ratio 8:9

   ● The measure of 3rd angle is 27°

   To Find:–

   ● All the angles of the triangle

   Solution:–

   Let the angles of the triangle be 8x, 9x and 27°

   → 8x + 9x + 27° = 180°

   [angle sum property of a triangle]

   → 17x + 27° = 180°

   → 17x = 180 – 27

   → x = 153/17

   → x = 9°

   8x = 8 × 9 = 72°

   9x = 9 × 9 = 81°

   Hence, all the three angles of a triangle are 72°, 81° & 27°

   #NAWABZAADI

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