Question

Hi can someone please give me the answer to this question and please include the math so I can understand how you got it :)

Answer 1

Answer:

The value of x is 51⁰.

Step-by-step explanation:

Solution :

Here we can see that the given figure is complete angle.

As we know that the complete angle is a type of angle that measures 360°.

Now, finding the value of x.

${\longrightarrow{\sf{{35}^{0} + (2x + 16)^{0} + (4x + 3)^{0} = {360}^{0}}}}$

${\longrightarrow{\sf{(4x + 2x) + ( {35}^{0} + {3}^{0} + {16}^{0}) = {360}^{0}}}}$

${\longrightarrow{\sf{(6x) + ({38}^{0} + {16}^{0}) = {360}^{0}}}}$

${\longrightarrow{\sf{(6x) + ({54}^{0}) = {360}^{0}}}}$

${\longrightarrow{\sf{6x + {54}^{0}= {360}^{0}}}}$

${\longrightarrow{\sf{6x = {360}^{0} - {54}^{0}}}}$

${\longrightarrow{\sf{6x = {306}^{0}}}}$

${\longrightarrow{\sf{x = \dfrac{306}{6}}}}$

${\longrightarrow{\sf{x = {51}^{0}}}}$

$\star{\underline{\boxed{\sf{\red{x = {51}^{0}}}}}}$

Hence, the value of x is 51⁰.

$\rule{300}{2.5}$