Answered

Makakuha ng mabilis at maaasahang mga sagot sa iyong mga tanong sa IDNStudy.com. Ang aming komunidad ay handang magbigay ng malalim at praktikal na mga solusyon sa lahat ng iyong mga katanungan.

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°