Answer:10
Step-by-step explanation:
Each exterior angle is (3x + 6)°
A decagon has 10 sides
Each exterior angle=360/n
n=number of sides
3x+6=360/10
Cross multiply
10(3x + 6)=360
30x+60=360
Collect like terms
30x=360-60
30x=300
Divide both sides by 30
30x/30=300/30
x=10
The decagon has a value of x is 10.
A decagon is a polygon with 10 equal sides.
According to the question,
Each exterior angle of regular decagon has measure of (3x + 6)".A decagon has 10 sides and each exterior angle=360/n where, n=number of sides.
3x+6=360/10
10(3x + 6)=360 [Cross multiply]
30x + 60 = 360
30x =360-60 [Collect like terms]
30x =300
30x/30 = 300/30 [Divide both sides by 30]
x = 10
Hence, the decagon has a value of x is 10.
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