Question

Help plz
Find the measurement of the angles of a triangle if they are in the ratio 5:4:3 ​

Answer 1

Answer:

See below:

Step-by-step explanation:

Let the angles be 5x , 4x , 3x.[Since the angles are in ratio 5:4:3 ] respectively.

We know that sum of all angles of a triangle is 180°.

So,

$5x + 4x + 3x = 180 {}^{ \circ}$

Now Find the value of x of this equation.

$\sf \implies \: 5x + 4x + 3x = 180 {}^{ \circ}$

$\sf \implies12x = 180 {}^{ \circ}$

$\sf \implies \: x = \cfrac{180 { {}^{ \circ} }}{12}$

$\sf \implies \: x = \cfrac{ \cancel{180 {}^{ \circ}} }{ \cancel{12}}$

$\sf \implies \: x = 15 {}^{ \circ}$

Now,

Multiply each ratio given by 15 which is the value of x we got.

That is;

$\therefore \sf\implies \: First \: Angle = 5 \times 15 {}^{ \circ} = \boxed{75 {}^{ \circ}}$

$\sf \sf \implies \: Second\: Angle = 4\times 15 {}^{ \circ} = \boxed{60 {}^ \circ}$

$\sf \implies \: Third\: Angle = 3 \times 15 = \boxed{ {45}^ \circ}$

Hence,the measurements of the angles of the triangle would be 75°[First Angle],60°[Second angle],and 45° [Third Angle].

$\rule{225 pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

Answer 2

The measurement of the angles of the given triangle are;

75°, 60°, 45°

Angles in a Triangle

Since the angles are in the ratio 5:4:3, then we can say the 3 angles can be represented as;

5x, 4x and 3x where x is the common factor among all the angles.

We know that sum of angles is a triangle is 180°.

Thus;

5x + 4x + 3x = 180°

12x = 180°

x = 180/12

x = 15°

Thus, the measurement of the 3 angles are;

5 * 15 = 75°

4 * 15 = 60°

3 * 15 = 45°

Read more about angles in a triangle at; https://brainly.com/question/7620723