Question

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 grades​

Answer 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°

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