Question:-
- The angles in a triangle are as follows
Given angles:-
- Angle A = 5x - 60
- Angle B = 2x + 40
- Angle C = 3x - 80
To find:
- The value of the variable x
Required Solution:
We know that ,
- The sum of interior angles in a triangle is equal to 180 degrees
[tex] {\longrightarrow} \tt \: 5x - 60 + 2x + 40 + 3x - 80 = 180 [/tex]
[tex] {\longrightarrow} \tt 10x - 60 + 40 - 80 = 180[/tex]
[tex] {\longrightarrow} \tt 10x - 100 = 180[/tex]
[tex] {\longrightarrow} \tt 10x = 280[/tex]
[tex] {\longrightarrow}{ \pink{ \underline{ \boxed{ \tt \: x = 28}}\star} }[/tex]
Therefore:
- The measure of x is 28 degrees
