Question

3. if the measure of angles of a
triangle are in the natio 1:2:3.
then find the measure of the
smallest angle​

Answer 1

Answer:

the measure of the smallest angle is 30 degeree

Step-by-step explanation:

(the measure or 3 angles of a traiangle is 180 degrees)

the measure of angles in ratio =1:2:3

1x+2x+3x = 180 degrees

6x = 180 degree

x= 180 / 6

x=30 degree

Answer 2

Answer :

• 30⁰ is the smallest angle

Given :

• The measure of angles of a triangle are in the ratio 1:2:3

To find :

• Measure of the smallest angle

Solution :

Given that,

• The measure of an angles of a triangle are in the ratio 1:2:3 then,

• Let the angles of a triangle be x , 2x and 3x

As we know that,

• Sum of all angles in a triangle is equal to 180⁰

》x + 2x + 3x = 180

》6x = 180

》x = 180/6

》x = 30⁰

Then,

• x = 30⁰
• 2x = 2(30) = 60⁰
• 3x = 3(30) = 90⁰

Hence , 30⁰ is the smallest angle

Verification :

As we know that ,

• Sum of all angles in a triangle is equal to 180⁰

Given angles is 30⁰ , 60⁰ and 90⁰

》30⁰ + 60⁰ + 90⁰ = 180⁰

》180⁰ = 180⁰

Hence verified