Question

Please do both you get 100 points!!

Answer 1

#6

Sum of exterior angles of any polygon=360°

sides=6

Measure of one angle

• 360/6
• 60°

Option D

#7

4ft=1cm

• 32ft=32/4=8cm

and

• 60ft=60/4=15cm

Dimensions are 8cm and 15cm

Option B

Answer 2

6. d. m∠YXZ = 60°

7. b. 8 cm x 15 cm

Explanation:

Question 6

∠YXZ is the exterior angle of a regular polygon

Exterior angle of a regular polygon = 360° ÷ number of sides

⇒ ∠YXZ = 360° ÷ 6

⇒ ∠YXZ = 60°

Question 7

Scale 1 cm : 4 ft

Therefore, to convert actual dimensions in feet to sketch dimensions in centimeters, divide dimensions in feet by 4:

⇒ width = 32 ft

⇒ width = 32 ÷ 4 = 8 cm

⇒ length = 60 ft

⇒ length = 60 ÷ 4 = 15 cm

Therefore, the dimensions of the sketch are 8 cm x 15 cm