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qwelly [4]
2 years ago
10

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

Mathematics
2 answers:
Reika [66]2 years ago
7 0

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; brainly.com/question/7620723

Lerok [7]2 years ago
5 0

Answer:

<u>See below:</u>

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.

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