Answer :

Space

Answer:

m∠R = 60°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Trigonometry

  • [Right Triangles Only] SOHCAHTOA  
  • [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = ∠R

Opposite Leg of ∠R = 10√3

Hypotenuse = 20

Step 2: Solve

  1. Substitute in variables [sine]:                                                                         [tex]\displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}[/tex]
  2. [Equality Property] Trig inverse:                                                                    [tex]\displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})[/tex]
  3. Evaluate trig:                                                                                                   [tex]\displaystyle R = 60^\circ[/tex]

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