Question

The angles of triangle are in ratio 6 :5:7. Find the angles.​

Answer 1

Answer:

As the sum of all angles of triangle is 180°.

Let the angles be 6x,5x and 7x.

6x+5x+7x=180°

18x=180°

therefore x = 10

the first angle is 6x= 6×10 = 60°

the second angle is 5x= 5× 10 = 50°

the third angle is 7x = 7× 10 = 70°

Answer 2

Answer:

Here is ur answer

Step-by-step explanation:

First of all let the unknown value be x

Then,

Let the 1st angle be 6x⁰

Let the 2nd angle be 5x⁰

Let the 3rd angle be 7x⁰

Now we got all the three angles of the Triangle

Solve:6x⁰+5x⁰+7x⁰=180⁰ (Angle Sum Property of a Triangle)

We have,

6x⁰+5x⁰+7x⁰=180⁰

→18x⁰=180⁰

→x⁰=180⁰/18⁰

→x⁰=10⁰

Check:6x10⁰+5x10⁰+7x10⁰=180⁰

We have,

→60⁰+50⁰+70⁰=180⁰

→110⁰+70⁰=180⁰

→180⁰+180⁰

More Information:

When there is a question given to you in a ratio or a proportion you just need to assume the unknown value as ( x )and write it beside it and use the Angle sum property of a Triangle.

You just need to simply solve the equation and then substitute the value of (x) to find the Answer.