Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home
on the road connecting the mall and her house. What is her total distance traveled?
A) 17 miles
B) 32 miles
C) 37 miles
D) 40 miles
A) 17 miles
B) 32 miles
C) 37 miles
D) 40 miles
1 answer:
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Answer:
Part a) The measure of an exterior angle is 60°
Part b) The measure of an interior angle is 120°
Step-by-step explanation:
step 1
Find the value of x
we know that
A regular polygon has equal sides and equal interior angles
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
so
solve for x
step 2
Find the measure of an exterior angle
2x
substitute the value of x
step 3
Find the measure of an interior angle
4x
substitute the value of x
In this problem the regular polygon is a hexagon