Question

2.If the angles (4x + 4)° and (6x – 4)° are the supplementary angles, find the value of x

Answer 1

Answer:

Step-by-step explanation:

4x + 4 +6x - 4 = 180

10x = 180

x = 18°

<A = 4(18) + 4 = 76°

< B = 6(18) - 4 = 104 °

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 ✺