Question

A.8 B.9 C.11 D.14 math.........again

Answer 1

i pretty sure 9

Explanation:

Answer 2

The value of x is 11.

Step-by-step explanation:

Given :

Here we have given that the angles of a triangle are :

• 
  `\pink\star` 62⁰
• 
  `\pink\star` 69⁰
• 
  `\pink\star` 4x + 5

`\begin{gathered}\end{gathered}`

To Find :

• 
  `\pink\star` We need to find the value of x.

`\begin{gathered}\end{gathered}`

As we know that :

• 
  `\pink\star` The sum of the angles of a triangle is always 180 degrees.

`\begin{gathered}\end{gathered}`

Solution :

Now, according to the question :

`\begin{gathered}\quad\longrightarrow{\sf{Sum \: of \: all \: angles = {180}^(0)}} \\\\\quad\longrightarrow{\sf{{62} + {69} + 4x + 5 = {180}}}\\\\\quad\longrightarrow{\sf{{131} + 4x + 5 = {180}}}\\\\\quad\longrightarrow{\sf{4x + 5 = {180} - {131}}}\\\\\quad\longrightarrow{\sf{4x + 5 = 49}}\\\\\quad\longrightarrow{\sf{4x = 49 - 5}}\\\\\quad\longrightarrow{\sf{4x = 44}}\\\\\quad\longrightarrow{\sf{x = (44)/(4)}}\\\\\quad\longrightarrow{\sf{x = 11}} \\ \\ \quad{\star{\underline{\boxed{\sf{\purple{x = 11}}}}}}\end{gathered}`

Hence, the value of x is 11.

`\rule{300}{2.5}`