How to simplify 5(2x3+1) - 4(6)
1 answer:
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Answer:
144°
Step-by-step explanation:
step 1
Find the measure of the central angle of the regular pentagon
Divide 360 degrees by 5 (the number of sides)
Let
c----> the center of the pentagon
we know that
m∠ECA=72°
m∠ACB=72°
therefore
m∠ECB=m∠ECA+m∠ACB
substitute the values
m∠ECB=72°+72°=144°
The measure of angle ECB is equal to the degrees that the pentagon rotate
Answer:
x = 67.5 ft
Step-by-step explanation:
In ΔNMP
∵ AB // NP
∴ m∠ MAB = m∠MNP
∴ m∠MBA = m∠MPN
∵ ∠M is a comman angle
∴ ΔMAB is similar to ΔMNP
∴ MA/MN = MB/MP
∵ MA = 71.5 - 22 = 49.5
∴ 49.5/71.5 = x/97.5
∴ x = = 67.5