Answer:
The value of x = 10.
Step-by-step explanation:
From the given triangle,
- The value of angle M = (3x + 28)°
- The value of angle K = (5x - 18)°
- The value of angle L = 90°
We know that the sum of a triangle is 180°.
i.e.
K + L + M = 180°
(5x - 18)° + 90° + (3x + 28)° = 180°
[tex]5x-18+90+3x+28=180[/tex]
[tex]5x+3x-18+90+28=180[/tex]
[tex]8x-18+90+28=180[/tex]
[tex]8x+100=180[/tex]
[tex]8x=80[/tex]
[tex]\frac{8x}{8}=\frac{80}{8}[/tex]
[tex]x=10[/tex]
Therefore, the value of x = 10
