The measure of angles of a hexagon are x°, (x-5)°, (x-5)°,(2x-5)°,(2x-5)°,(2x+20)°. Find the value of x
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Ama02
The sum of the angles of a hexagon is 180 degree therefore, x+x-5+x-5+2x-5+2x-5+2x+20=180 9x-20+20=180 9x=180 x=180/9 x=20 degree hope it helped you reply if the answer was helpful
Answers & Comments
therefore,
x+x-5+x-5+2x-5+2x-5+2x+20=180
9x-20+20=180
9x=180
x=180/9
x=20 degree
hope it helped you
reply if the answer was helpful
Answer:
x=80
Step-by-step explanation:
Number of sides of regular hexagon =6
Sum of all interior angles =(n−2)×189°
=(6−2)×180°
=4×180°
=720°
Sum of all interior angle =x+x−5+x−5+2x−5+2x−5+2x+20
⇒ 720°=9x
⇒x= 729°/9
x=80°