Math, asked by aryanaravanil81, 1 month ago

The angles of a triangle are I ratio of 4:5:6 find the measures of each following​

Answers

Answered by workforharshbadshah
0

Answer:

48,60,72 answer h if you like

Answered by boipoi35531
0

Answer:

48, 60, 72

Step-by-step explanation:

To solve this question, let's use angle sum property (The sum of all the angles of a triangle will be 180°)

The ratio of angles = 4:5:6

angle 1 = 4x

angle 2 = 5x

angle 3 = 6x

Applying angle sum property:

4x + 5x + 6x = 180°

              15x = 180°

                  x = \frac{180}{15}

                  x = 12

Therefore x = 12

Now, we can use the value of x to find the measure of each angle:

4x = 4 × 12 = 48

5x = 5 × 12 = 60

6x = 6 × 12 = 72

Therefore, the measures of the angles are: 48, 60, 72

Verification:

48 + 60 + 72 = 180 (The answer is parallel with Angle Sum Property)

Concepts used:

- Angle Sum property

- finding the value of x

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