Question

The three angles of a scalene triangle are in the ratio 2 : 3 : 5. Find the measures of the angles.​

Answer 1

Answer:

36,54,90

Step-by-step explanation:

Sum of all the angles of a triangle is always 180°

Angle 1=2x

Angle 2=3x

Angle 3=5x

According to question:-

2x+3x+5x=180°

10x=180°

x=180/10

x=18

Hence,the angles are:-

2x=36(2×18)

3x=54(3×18)

5x=90(5×18)

Answer 2

Answer:

36° , 54° , 90°

Step-by-step explanation:

Let us take all angles be = X

All angles are given in a ratio so,

The first angle will be taken as = 2x

The second angle will be taken as = 3x

The third angle will be taken as = 5x

By angle sum property of triangle we have,

Sum of all angles of a triangle is equal = 180°

$a \: + b + c = 180$

Now, Substituting the value of First angle, Second angle, Third Angle:

$2 x + 3x + 5x = 180$

$10x = 180$

$x = \frac{180}{10}$

$x = 18$

We got the value of X = 18.

Now : Substituting the value of X (18) in first angle 2x

$2 \times 18 = 36$

Now: Substituting the value of X (18) in second angle 3x

$3 \times 18 = 54$

Now: Substituting the value of X (18) in third angle 5x

$5 \times 18 = 90$

So the all three angles are:

Angle 1 = 36°

Angle 2 = 54°

Angle 3 = 90°