Question

one of three angles of a triangle, one is the three times the smallest and the other is the five times the smallest. find the angles​

Answer 1

Answer:

20°, 60° & 100°

Step-by-step explanation:

Let, the smallest angle be 'x'

By the question,

Other two angle will be 3x and 5x.

We know,

Sum of all the three angle of a triangle is 180°.

Therefore,

$x + 3x + 5x = 180 \\ or \: \: 9x = 180 \\ or \: \: x = \frac{180}{9} = 20 \\ 3x = 3 \times 20 = 60 \\ 5x = 5 \times 20 = 100$

HOPE IT HELPS