A nonagon has angles that measure 153.7°, 123°, 126°, 166.6°, 138°, 113°, 141°, 136.6°, and n. What is n?

**Answer:**

**n = 162.1°**

__Step-by-step explanation:__

Use this formula to find the total measure of interior angles of a polygon:

**(n-2) × 180°** *where ***n*** is the ***number of sides.**

A **nonagon** is a** polygon **with** 9 sides.**

__To find the total measure of a nonagon’s interior angles where n=9:__

(9 – 2) × 180°

= 7 × 180°

= **1,260° ⇒ total measure of a nonagon’s interior angles**

__To solve for the missing measure of the 9th angle, n:__

n = 1,260° – (153.7° + 123° + 126° + 166.6° + 138° + 113° + 141° + 136.6°)

n = 1,260° – 1097.9°

**n = -162.1°**