Question

10. Angles of a triangle are in the ratio 2:7:9. Find the angles​

Answer 1

Answer:

2x+7x+9x=180

18x=180

x=180÷18=10

first angle =2x=2×10=20

second angle =7x=7×10=70

third angle =9x=9×10=90

Answer 2

$\bf\huge\underline{Answer}$

The angles of the triangle are 20°, 70° and 90° respectively

Explanation :-

Given :

• Ratio of the angles of triangle - 2 : 7 : 9

To find :

The angles of the triangle

Solution :

Let the first angle of the triangle be 2x

The second angle be 7x

And the third angle be 9x

We know that,

Sum of the angles of triangle = 180°

=> 2x + 7x + 9x = 180

=> 18x = 180

=> x = 180/18

=> x = 10

Therefore,

The first angle (2x) => 2 × 10 = 20°

The second angle (7x) => 7 × 10 = 70°

The third angle (9x) => 9 × 10 = 90°