Answer:

7. How many sides does the polygen have if the sum of each interior angle is 1080°?

D.8

-The polygon with an interior angle sum of 1080° is an octagon, or a polygon with 8 sides.

8. I'd four angles of a hexagon measures 72°, 157°, 95°, and 134° respectively, what is the measure of the remaining angles if they are congruent?

C. 140°

-The meansure of the remaining angles is 140° a hexagon has 6 side and the sum of all the internal angles is 720°. The four angles are already given.

9. If each interior angle of a regular polygon measures 168°, how many sides does the polygon have?

C.30

-Explanation: The only number that stays the same for the angles of all polygons is that the sum of the exterior angles is 360°. If you know the number of sides (n) you can find the size of each exterior angle of a regular polygon. 360÷12°=30 sides

10. If the sum of the measures of four exterior angles of a Pentagon is 288°, what is the measure of the fifth exterior angle?

C.72°

-Each exterior angle of a pentagon is 360°/5=72

11. If the first three angles of a quadrilateral measures 54°, 66°, and 80°, respectively. What is the measure of the fourth angle?

A.150°

- The measure of the fourth angle of the quadrilateral is 150°

12. What is the sum of the measures of the interior angles of the coin. Which is in the shape of an octagon?

C. 1,080°

-The sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1,080°.

13. What is the measure of each interior angle of a regular nonagon?

C.140°

-Each angle of a regular nonagon is of 140°. A nonagon in which all sides are not equal and all angles are not equal. The measure of its angles are different but total sum of all its interior angles is always 1260°.

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