The sum of the measures of the interior angles in a convex polygon is 1.260. How many sides does the polygon have? A 5
B7
c9
OD. 14

c. 9.

Step-by-step explanation:

Sum of interior angles = 180(n - 2), so

180(n - 2) = 1260

180n - 360 = 1260

180n =1260 + 360 =   1620

n = 1620/ 180

= 9 sides.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.