Answer:
The value of x = 10.
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°
![5x-18+90+3x+28=180](https://img.qammunity.org/2021/formulas/mathematics/college/z7fkvlovwry5v5rgptpr7f7abakyftibss.png)
![5x+3x-18+90+28=180](https://img.qammunity.org/2021/formulas/mathematics/college/ed4bx0k1xa4bgpups0hezkb0ano16d3qsd.png)
![8x-18+90+28=180](https://img.qammunity.org/2021/formulas/mathematics/college/rk3v4m7me7whs12oovztzditmi7j8197s2.png)
![8x+100=180](https://img.qammunity.org/2021/formulas/mathematics/college/nvavstclqh650qbvd063b27boclxc5tnyy.png)
![8x=80](https://img.qammunity.org/2021/formulas/mathematics/college/fwaur8uhktaxrmzl8o79m4ubo0oddeycio.png)
![(8x)/(8)=(80)/(8)](https://img.qammunity.org/2021/formulas/mathematics/college/n1t0baubyh8ffz4e2jj74x14qtvfaq16bt.png)
![x=10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yveq4wkntm80fiuxnqfce6qwd476ocdd80.png)
Therefore, the value of x = 10