Question

3 angles which are added up to get 180° in retio 2:3:7. find their angle​

Answer 1

Answer:

hence, the angles are 30, 45 and 75.

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Step-by-step explanation:

2:3:7 = 2a:3a:7a

(multiplying all the terms by the same number does not change the value.)

2a+3a+7a = 180

(because the sum of the unknown angles is 180)

12a = 180

a = 15

2a = 30

3a = 45

7a = 75

Answer 2

Answer:

The three angles of a triangle are $30^{0} , 45^{0}$ and $105^{0}$.    

Step-by-step explanation:

Given : Sum of three angles = $180^{0}$

          The three angles are in the ratio = $2:3:7$

To find : The measure of three angles.

Solution :

• It is given that the sum of three angles = $180^{0}$

          The three angles are in the ratio = $2:3:7$

• We have to find the measure of three angles.
• Let, the three angles be $2x,3x$ and $7x$.
• As we know that in a triangle, sum of all angles is $180^{0}$.
• ∴ The equation becomes,

          $2x+3x+7x=180^{0}$

                      ∴ $12x=180^{0}$

                      ∴ $x=\frac{180}{12}$

                       ∴ $x=15^{0}$

• Now, put $x=15^{0}$ to get the measure of angles of a triangle.

• ∴ $2x=2*15^{0} =30^{0}$

         $3x=3*15^{0} = 45^{0}$

         $7x=7*15^{0} = 105^{0}$

• ∴ The three angles of a triangle are $30^{0} , 45^{0}$ and $105^{0}$.