Answer:
27°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Pre-Calculus
- Radian to Degree Conversion:
![\displaystyle \text{rad} \cdot (180)/(\pi)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ll6afu6te6u780jfn2s31aqw5do1dc8obq.png)
Explanation:
Step 1: Define
![\displaystyle (3 \pi)/(20)](https://img.qammunity.org/2022/formulas/mathematics/high-school/bkzn3s8jel8qplg46agodn6pgiwbpz0fll.png)
Step 2: Convert
- Set up:
![\displaystyle (3 \pi)/(20) \cdot (180)/(\pi)](https://img.qammunity.org/2022/formulas/mathematics/high-school/27osjkb7i866vawkmdvgjlaee10pnl8hd2.png)
- Multiply:
![\displaystyle (540 \pi)/(20 \pi)](https://img.qammunity.org/2022/formulas/mathematics/high-school/iic7h6myg6mtdolmu3ixv0e2an2755uln0.png)
- Simplify [Divide]:
![27](https://img.qammunity.org/2022/formulas/mathematics/high-school/d205139g53ucowhcla2vxlnct2ubxxd6ca.png)