Answer:
tanG = 2
tanH =
![(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/geika1bebdh49vlmy8m866aot9b5u0n47d.png)
Explanation:
The function tangent is the opposite side divided by the adjacent one(SohCahToa).
Relative to angle G, the side with measure 2 is opposite while the wide with measure 1 is adjacent. From this we can set up an equation and substitute:
tan(m<G) =
![(opposite)/(adjacent)](https://img.qammunity.org/2023/formulas/mathematics/high-school/s4txkpzgzs7bsugu33qehqua7a2uwgny54.png)
tan(m<G) =
![(2)/(1) = 2](https://img.qammunity.org/2023/formulas/mathematics/high-school/jocooedapk1adgqe6223p47up1029joe6p.png)
The same can be done for <H. The opposite side is 1 while the adjacent is 2:
tan(m<H) =
![(opposite)/(adjacent)](https://img.qammunity.org/2023/formulas/mathematics/high-school/s4txkpzgzs7bsugu33qehqua7a2uwgny54.png)
tan(m<H) =
![(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/geika1bebdh49vlmy8m866aot9b5u0n47d.png)