Answer:
The value of x is 11.
Step-by-step explanation:
Given :
Here we have given that the angles of a triangle are :
- [tex]\pink\star[/tex] 62⁰
- [tex]\pink\star[/tex] 69⁰
- [tex]\pink\star[/tex] 4x + 5
[tex]\begin{gathered}\end{gathered}[/tex]
To Find :
- [tex]\pink\star[/tex] We need to find the value of x.
[tex]\begin{gathered}\end{gathered}[/tex]
As we know that :
- [tex]\pink\star[/tex] The sum of the angles of a triangle is always 180 degrees.
[tex]\begin{gathered}\end{gathered}[/tex]
Solution :
Now, according to the question :
[tex]\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 = \frac{44}{4}}}\\\\\quad\longrightarrow{\sf{x = 11}} \\ \\ \quad{\star{\underline{\boxed{\sf{\purple{x = 11}}}}}}\end{gathered}[/tex]
Hence, the value of x is 11.
[tex]\rule{300}{2.5}[/tex]
