Question

How do you solve this

Answer 1

Step-by-step explanation:

we know the measure of all angles of triangles= 180°

so, sum of all angles = 3:4:5 =180°

let assume , angles are 3x, 4x, and 5x

• 3x + 4x + 5x = 180
• 12x = 180
• x = 180/12
• x = 15

1st angle will be : 15×3 = 45°

1st angle will be : 15×3 = 45°2nd angle will be : 15×4=60°

1st angle will be : 15×3 = 45°2nd angle will be : 15×4=60°3rd angle will be : 15×5 =75°

Answer 2

Question

In a triangle, the angles are in the ratio of 3:4:5. Find the measure of all angles.

Answer

Given,

Ratio of the angles=3:4:5

Let there first angle be 3x

And the second angle be 4x

And the third angle be 5x

To find: The measure of all angles

Solution

We know,

Sum angle property = 180°

=> (First+second+third) angle = 180°

=> 3x + 4x + 5x = 180°

=> 12x = 180°

=> x = 180/12

=> x = 15

Substituting the value of x , we get,

The First angle = 3x = 3×15= 45

The Second angle = 4x = 4×15 = 60

The Third angle = 5x = 5×15 = 75

VERIFICATION

The sum of all the angles

=(45+60+75)°

= 180°