If the sum of the interior angle measures of a polygon is 3600°, how many sides does the polygon have? a. 22 sides b. 20 sides c. 18 sides d. 10 sides

It is 22 not 10

Step-by-step explananation

Explanation: A polygon with interior angles totalling 3600∘ must be able to be divided into 20 triangles, by drawing diagonals from one vertex. If a figure can be divided into 20 triangles, it must have 22 sides. (The number of triangles is always 2 less than the number of sides.) To find this answer using the formula, set (n−2)⋅180=3600 and solve for n. First divide both sides by 180, yielding n−2=20. (This shows that the n-gon can be divided into 20 triangles.) Then add 2 to both sides to get n=22.

right

step-by-step explanation:

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°