Question

The anges of a triangle are in the ratio 5:6:7 Find each angle​

Answer 1

Answer:

let x be the common multiple of given ratio,

the angles will be:

5x,6x,7x

5x+6x+7x=180° ...(property of triangle)

18x=180°

x=180°/18

x=10

substitute value of x

5x=5×10=50°

6x=6×10=60°

7x=7×10=70°

Measures of angles are 50°,60°&70° respectively.

Answer 2

Answer:

50:60:70

Step-by-step explanation:

Let,

5=5x

6=6x

7=7x

Then, angles in a triangle=180

We have,

5x+6x+7x=180

or 18x=180

or x = 10

Thus, 5x=5×10=50

6x=6×10=60

7x=7×10=70.