Answer:
1. (5x - 2) + (2x - 2) + x =
![180^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/vvcgpz80gcgq9iggic8fwbhakvubs4losu.png)
2. m<J =
![113^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mivt61u1il3a4i2lnl4ntisbiuu3id5tla.png)
3. m<K =
![44^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/6db8amdrip5oyp8fsg6lpn47257opd30qe.png)
4. m<L =
![23^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/k94shic5amnzgl51h4759p5i0hx6aabdh3.png)
Explanation:
Generally, the sum of angles in a triangle =
.
So that;
m<J + m<K + m<L =
![180^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/vvcgpz80gcgq9iggic8fwbhakvubs4losu.png)
(5x - 2) + (2x - 2) + x =
![180^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/vvcgpz80gcgq9iggic8fwbhakvubs4losu.png)
5x + 2x + x -2 -2 =
![180^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/vvcgpz80gcgq9iggic8fwbhakvubs4losu.png)
8x - 4 =
![180^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/vvcgpz80gcgq9iggic8fwbhakvubs4losu.png)
8x =
+ 4
8x = 184
x =
![(184)/(8)](https://img.qammunity.org/2022/formulas/mathematics/high-school/kckdg0g2k2seyh3vozjncxkg49y8lhi5f0.png)
x =
![23^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/k94shic5amnzgl51h4759p5i0hx6aabdh3.png)
Thus,
m<J = (5x - 2)
= 5(23) - 2
=
![113^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mivt61u1il3a4i2lnl4ntisbiuu3id5tla.png)
m<K = (2x -2)
= 2(23) - 2
=
![44^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/6db8amdrip5oyp8fsg6lpn47257opd30qe.png)
m<L = x
=
![23^(o)](https://img.qammunity.org/2022/formulas/mathematics/high-school/k94shic5amnzgl51h4759p5i0hx6aabdh3.png)