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11. What is the measure of each interior angle of a regular decagon?
A. 144° B. 150° C. 154° D. 160°

12. What is the measure of each exterior angle of a regular dodecagon?
A. 30° B. 40° C. 50° D. 60°

For number 13 - 15
The angles of a quadrilateral measure (3x + 12) °, (7x) °, (4x – 10) ° and (6x – 2) ° respectively.

13. What is the value of variable x?
A. 12° B. 16° C. 18° D. 20°

14. What is the measure of the smallest angle?
A. 60° B. 62° C. 64° D. 66°

15. What is the measure of the largest angle?
A. 126° B. 128° C. 130° D. 132°

16. Find the number of sides if the measure of the interior angles of a regular polygon is 108°.
A. 5 B. 6 C. 7 D. 8

17. The measures of the exterior angles of a convex quadrilateral, one at each vertex, are (6x)°, (4x – 10)°,
(4x + 10)° and (2x + 40)°. What is the measure of the largest angle?
A. 20° B. 70° C. 80° D. 120°

18. The measure of each interior angle of a regular polygon is 8 times than of an exterior angle. How many
sides does the polygon have?
A. 16 B. 17 C. 18 D. 19

19. A regular hexagonal grassland whose side is (x + 3) m is to be fenced by a wire, what is the length of each
wire needed to enclosed the grassland if the perimeter is (198 + 2x)m?
A. 45 m B. 48 m C. 51 m D. 54 m

20. Three angles of a hexagon are 60°, 100° and 120°. Find the other three angles if they are in the ratio 2:3:5.
A. 88°, 132°, 220° C. 98°, 102°, 240°
B. 80°, 100°, 220° D. 78°, 142°, 220°​

Sagot :

Davidadrian1320idn

Answer:

11.) A

12.) A

13.) C

14.) B

15.) D

16.) A

17.) D

18.) C

19.) B

20.) A

Step-by-step explanation:

Number 20 solution:

A hexagon has six sides.

(6 - 2) x 180 = 720

Since the sum of measures of the three angles is

60 + 100 + 120 = 280

Then the sum of the measures of the other three angles is equal to

720 - 280 = 440

if x represents the measure of an angle, then

2x + 3x + 5x = 440

10x = 440

x = 44

thus, the other three angles have measures

2x = 2(44) = 88°

3x = 3(44) = 132°

5x = 5(44) = 220°