Question

If 4x, 5x and 6x is supplementary angle. What is the value of x?

Answer 1

Supplementary angle means their total is 180*

4x + 5x + 6x = 180*

15x = 180*

x = 180/15

x = 12

Answer 2

Answer:

✯✯ QUESTION ✯✯

If the angles (4x + 4)° and (6x – 4)° are the supplementary angles,

Find the value of x.

━━━━━━━━━━━━━━━━━━━━

✰✰ ANSWER ✰✰

$\longmapsto\tt\bold{Angles=(4x+4)\:and\:(6x-4)}$

➮As we know that Sum of Supplementary Angles is 180°...

➥A.T.Q : -

$\longmapsto\tt{4x+4+6x-4=180}$

$\longmapsto\tt{4x+6x+4-4=180}$

$\longmapsto\tt{10x=180}$

$\longmapsto\tt{x=\cancel\dfrac{180}{10}}$

$\longmapsto\tt{\large{\boxed{\bold{\bold{\orange{\sf{x=18}}}}}}}$

☛So , The value of x is 18.

_______________________

✔VERIFICATION : -

$\longmapsto\tt{4(18)+4+6(18)-4=180}$

$\longmapsto\tt{72+4+108-4=180}$

$\longmapsto\tt{76+108-4=180}$

$\longmapsto\tt{184-4=180}$

$\longmapsto\tt\bold{180=180}$

✺ HENCE VERIFIED ✺