Answer:
170°
Step-by-step explanation:
The formulae for getting the interior sides of an angle is 180(n-2) where n is there number of sides. And pentagon has 5 sides.
180(5-2)
180(3)=540°
Additions of the must just give 540°
2x+6x+(4x-6)+(2x-16)+(6x+2)=540°
Collect like terms
2x+6x+4x+2x+6x-6-16+2=540°
20x-20=540
20x=540+20
20x=560
x=560/20
x=28°
Which of these sides gives the greatest.
2x=2(28)=56°
6x=6(28)=168°
4x-6=4(28)-6=112-6=108°
2x-16=2(28)-16=56-15=40°
6x+2=6(28)+2=168+2=170°
The greatest of them is (6x+2)°=170°
The measure, in degrees, of the largest angle should be considered as the 170°.
Since The formulae for the interior sides of an angle should be
180(n-2)
here, n is there a number of sides.
And pentagon has 5 sides.
So,
= 180(5-2)
= 180(3)
=540°
Now
2x+6x+(4x-6)+(2x-16)+(6x+2)=540°
2x+6x+4x+2x+6x-6-16+2=540°
20x-20=540
20x=540+20
20x=560
x=28°
Now
2x=2(28)=56°
6x=6(28)=168°
4x-6=4(28)-6=112-6=108°
2x-16=2(28)-16=56-15=40°
6x+2=6(28)+2=168+2=170°
Hence, The measure, in degrees, of the largest angle should be considered as the 170°.
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