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

The value of x is 51⁰.

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 = (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}`