Question

2. The angles of a triangle are in the ratio 2:3:5. Find the measure of each angle of the
triangle
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Answer 1

Answer:

given

the angles of a triangle are in the ratio 2:3:5

let the 1st angle be 2x

the 2nd angle be 3x

the 3rd angle be 5x

we know that the angle sum property of a triangle is 180degrees

2x+3x+5x=180

10x=180

x=180/10

x=18

therefore.... the measure of 1st angle=2x=2(18)=36

the measure of2nd angle=3x=3(18)=54

the measure of 3rd angle =5x=5(18)=90

I hope it may help you☺☺☺☺☺☺☺

Answer 2

Answer:

$\bf \fbox \red {All three angles are 36⁰ , 54⁰ , 90⁰ }$

Step-by-step explanation:

The angles of triangle are in the ratio 2: 3: 5

Let the angles be 2x ,3x and 5x

We know that the sun of all the angles of triangle is of 180⁰.

Therefore,

$2x + 3x + 5x = 180 \\ \\ 10x = 180 \\ \\ x = \frac{180}{10 } \\ \\ x = {18}^{0}$

The value of x is 18 ⁰

Let's substitute the value of x.

Therefore,

$2x = 2 \times 18 \\ \\ = > {36}^{0}$

$3x = 3 \times 18 \\ \\ = > {54}^{0}$

$5x = 5 \times 18 \\ \\ = > {90}^{0}$

$\bf \fbox \green {Hence all three angles are 36⁰ , 54⁰ , 90⁰ }$