# Chapter 13, Trigonometric Ratios and Functions - 13.2 Define General Angles and Use Radian Measure - 13.2 Exercises - Quiz for Lessons 13.1 and 13.2 - Page 865: 9

80 degrees

#### Work Step by Step

We know that there are 180 degrees per pi radians. Thus, we find: $$=\frac{4\pi}{9} \ radians \times \frac{180^{\circ}}{\pi\ radians}=80^{\circ}$$

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