Answer:
5 9/14
Step-by-step explanation:
Answer:
12 sides
Step-by-step explanation:
To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;
first write down the formula for finding sum of the interior angle of a polygon
s= (n-2)180
where s is the sum of the interior angle and n is the number of side
from the question given, sum of the interior angle s=1800 degrees
substitute s=1800 degree into the formula and solve for n
s= (n-2)180
1800 = (n-2)180
divide both-side of the equation by 180
1800/180 = n-2
10 = n - 2
add 2 to both-side of the equation
10 + 2 = n
12 = n
n= 12
The polygon have 12 sides
AD || BC and BD is the transversal,
Therefore, angle DBC = angle ADB = 42° [alternate angles]
AD || BC and BD is the transversal,
angle BAD + angle ABD + angle DBC = 180° [co-interior angles]
or, 106°+ angle ABD + 42° = 180°
or, 148° + angle ABD = 180°
or, angle ABD = 180°-148° = 32°
Therefore, angle ABC = (32+42)° = 74°
AB||CD and BC is the transversal,
angle ABC + angle BCD = 180° [co-interior angles]
or, 72+2x+12 = 180
or, 84+2x = 180
or, 2x=180-84 = 96
or, x = 48
Answers: a)48°
b)42°
c)72°
Answer:
D
Step-by-step explanation:
