Question

The measures of angles of a triangle are in the ratio 5 : 6 : 7. Find the measure of each angle.​

Answer 1

Answer:

5:6:7 = 50:60:70

Step-by-step explanation

Let the common factor be x

5=5x

6=6x

7=7x

Sum of the triangle =180°

Equation = 5x+6x+7x=180

or 18x=180

or 18x/18 =180/18

or x= 10°

5x= 5*10 = 50°

6x = 6*10 = 60°

7x = 7*10 = 70°

Hope this solves your doubt !

Answer 2

Answer:

$sum of all \: triangle is 180 \\ 5x:6x 7x = 180 \\ \\ 18x = 180 \\ \\ x = 180 \div 18 = 10x \\ first \: triangle \: 5x =5 \times 10x50x \\ second \: triangle \: 6x = 6 \times 10x = 60x \\ third \: triangle \: 7x = 7 \times 10x = 70x$

Answer Answer