Answer:
i. 9
ii. 14
iii. 405
iv. 
Step-by-step explanation:
The number of diagonals in a polygon of n sides can be determined by:

where n is the number of its sides.
i. For a hexagon which has 6 sides,
number of diagonals = 
= 
= 9
The number of diagonals in a hexagon is 9.
ii. For a heptagon which has 7 sides,
number of diagonals = 
= 
= 14
The number of diagonals in a heptagon is 14.
iii. For a 30-gon;
number of diagonals = 
= 
= 405
The number of diagonals in a 30-gon is 405.
iv. For a n-gon,
number of diagonals = 
The number of diagonals in a n-gon is 
Answer: angle KAL = 90°
Step-by-step explanation: The decision on a photo
<4= 150
<6=150
because the angels are parallel <4 & <2 are the exact same measurements and because 6 is perpendicular to <4 & <2 thus making it also 150 degrees
Answer:
10:40
Step-by-step explanation:
As the left number increases by 1, the right number increases by 4. So as you can see, the left numbers go 3-4-5 while the right numbers go 12-16-20. So the answer is 10:40 because 10x4=40.
Answer:

Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

Substitute in known values:

And subtract. Hence:

In conclusion, ∠ABC measures 34°.