Question

find the value of x​

Answer 1

In ∆,

∠1+6x = 9x [ext. angle prop. of ∆] ----(i)

Now,

∠1 = 180°-9x

Putting value of 1, in eq(i)

⇒ 180°-9x+6x = 9x

⇒ 9x+9x-6x = 180°

⇒ 12x = 180°

⇒ x = $\frac{180°}{12}$

⇒ x = 15