Question

in a right angle triangle the ratio of other two angle is 3:2 find the smallest angle?please help, with explanation ​

Answer 1

Answer:

In a right angle triangle one angle is of 90 degree.

other two angle is 3:2 i.e, 3x and 2x.

We know that the sum of the angels of a triangle is 180 degree.

so,

According to question,

90 + 2x +3x=180

5x =180-90

5x=90

x= 90/5=18

Now, other two angels=

3x = 3×18 =54 degree

2x = 2×18 36 degree

so, smallest angle = 36 degree

Answer 2

Answer:

The smallest angle is 36°

Step-by-step explanation:

Given that,

A right angle △ with two angles ratio as 3 : 2 we need to find the smallest angle.

• As it is a right angle △ one of the angle must be 90° and others are in the ratio 3 : 2 (given).

Step 1 :

Assuming the two angels as “3x” and “2x”

• Now, we have three angles as 3x, 2x, and 90°

According to the angle sum property of △we can say that,

• [Angle sum property of a △ says that any △'s three angles are equal to 180°]

So,

→ 3x + 2x + 90° = 180°

Step 2 :

Solving for x :

→ 3x + 2x + 90° = 180°

→ 5x - 90° = 180°

→ 5x = 180 - 90

→ 5x = 90°

→ x = 90/5

→ x = 18°

• we got the value of “x” as 18°.

The other two angles are :

→ 3x = 3(18) = 54°

→ 2x = 2(18) = 36°

• And the third angle is 90° ✔

Among all three angles the smallest angle is 36° ✔