Question

- One of the angles of a triangle is 120° and second angle is double the third, find the angles​

Answer 1

Answer:

∴ The second angle of a triangle is $20^{0}$ and third angle is $40^{0}$.

Step-by-step explanation:

In context to question asked,

• One of the angles of a triangle = $120^{0}$
• Second angle is double the third angle.
• Let, second angle = $2x$

      Third angle = $x$

• We have to find the angles of a triangle.
• We know that, the sum of all angles in a triangle is $180^{0}$.
• So, according to given data,

       $120+2x+x=180$

           ∴ $120+3x=180$

                   ∴ $3x=180-120$

                   ∴ $3x=60$

                   ∴ $x=\frac{60}{3}$

                    ∴ $x=20^{0}$

• Now,  second angle = $2x$ = $2*20=40^{0}$
• ∴ The second angle of a triangle is $20^{0}$ and third angle is $40^{0}$.