The sum of the interior angles of a regular polygon is 3 times the sum of its exterior angles. Determine the number of sides of the polygon?

Octagon

Step-by-step explanation:

Sum of interior angles = 3*360 = 1080

sum of interior angles, is also, s = (n-2)180

From that,

n-2)180 = 1080

n-2 = 1080/180

n = 6 + 2

n = 8

Therefore, the figure is an 8 sided polygon or an octagon

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

2

step-by-step explanation: