Question

The ratio of the angles of a triangle is 4:3:2. Find the measure of each angle of the triangle,

Answer 1

Answer:

angles will be 80 degrees

60 degrees

40 degrees

let the common ratio be 4:3:2.

4x+3x+2x=180 degrees

Answer 2

Given:

Ratio of angles of triangle is 4:3:2.

To Find:

Measure of each angle.

Solution:

Here, we have to cindangkes of thr triangle. As we don't know what are measures so we will keep the angles as x. Now, we know that sum of angles of triangles is equal to 180°. As they will be multiplied, we will find the angles by adding.

Let the angles be x.

According To Question:

=> 4:3:2 = 180°

=> 4x + 3x + 2x = 180°

=> 9x = 180°

=> x = 180 / 9

=> x = 20°

Now,

We will multiply the values and will find the measures.

=> 4x = 4 × 20 = 80°

=> 3x = 3 × 20 = 60°

=> 2x = 2 × 20 = 40°

So, the measures of the three angles are 80°, 60° and 40° respectively.

Verification:

=> 80° + 60° + 40° = 180°

=> 180° = 180°

=> LHS = RHS

Hence, Verified!