Question

7. The angles of the triangle are 3x-40 X+20, 2x-10 then the value of x is a) 40° b) 35° d) 45° c) 50°.​

Answer 1

Answer:

The value of $x$ is $35^o$ .

Step-by-step explanation:

The sum of interior angles of a triangle is $180^o$ .

Given the three angles of the triangle are $3x-40, x+20$ and $2x-10$ .

Thus we have the equation,

$\implies 3x-40+x+20+2x-10 = 180\\\\\implies 6x-30 =180\\\\\implies 6x= 180+30 = 210\\\\\implies x=\dfrac{210}{6} = 35$

So $x= 35^o$ . Thus option (b) is the correct answer.