1. Which formula can be used to find the sum of the interior angles of a polygon?A. (n-2)180 B.180n - 1 C. 360/n D.(180n - 360)/n2. Is the following statement always, sometimes or never true? "A rhombus is a parallelogram."AlwaysSometimesNever3. A hexagon has three right angles. The remaining three angles are congruent. What are their measures?135°150°120°90°4. The sum of the interior angles of a polygon is 1440°. How many sides does the polygon have?14810125. The sum of the measures of four exterior angles of a pentagon is 282 degrees. What is the measure of the fifth exterior angle?72°108°18°78°6. How many sides does a regular polygon have if each exterior angle measures 40°?91086This is the unit 10 lesson 3 alternate quiz, if anyone has the rest of the answers for the test I'd greatly appreciate it!
Accepted Solution
A:
1. A
2. sometimes because parallelogram does not necessarily have 4 equal sides while rhombus does
3. their measures = ((6-2)*180-90*3)/3=150
4. no. of sides = 1440/180+2=10
5. the measure of the fifth exterior angle=360-282=78
6. let n be the no. of sides 180-(n-2)*180/n=40 (-180n+360)/n=-140 -180n+360=-140n -40n=-360 n=9 so the no. of sides is 9