Question

the smallest angle is ​

Answer 1

Step-by-step explanation:

==> 2x + 3x + 5x = 180

==> 10x = 180

==> x = 180/10

==> x = 18

One Angle = 2x = 2 × 18 = 36

Second Angle = 3x = 3 × 18 = 54

Third angle = 5x = 5 × 18 = 90

.°. The angle are 36°, 54° and 90°.

Answer 2

$\large{\underline{\underline{\mathfrak{\green{\sf{Solution:-}}}}}}$.

$\large{\underline{\underline{\mathfrak{\bf{Given\:here:-}}}}}$.

• Ration of three angle = 2:3:5

$\large{\underline{\underline{\mathfrak{\bf{Find\:Here:-}}}}}$.

• Smallest angle of triangle .

$\large{\underline{\underline{\mathfrak{\bf{Explanation:-}}}}}$.

Let

• angle of triangle = x

Then,

• Ratio of angle will be = 2x:3y:5z

We know that ,

$\large\boxed{\:Total\:angle\:of\:Triangle\:=\:180^{\circ}}$

$\implies\:(2x+3x+5x)\:=\:180$

$\implies\:(10x\:)\:=\:180$

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

$\implies\boxed{\:x\:=\:18}$

So,

• First Angle will be = 2x
• = 2 × 18
• = 36°

______________________________

• Second angle will be = 3x
• = 3 × 18
• =54°

______________________________

• Third angle will be = 5x
• = 5 × 18
• = 90°

_______ _____________________

We can see here ,

$\large\boxed{\:Smallest \:angle \:will \:be\:=\:36^{\circ}}$

_______,,,,______________

$\red{\:Follow}$