temesgenfrehiwot3 temesgenfrehiwot3
  • 09-03-2024
  • Mathematics
contestada

If the measure of the interior angle of pentagon are x°, 2x°, (x+30)°, (x-10) and (x+30 the find the value of x.​

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  • 09-03-2024
Answer 81.67
Explanation:

The sum of interior angles of a pentagon is
(
5
−
2
)
×
18
0
∘
=
54
0
∘
(5−2)×180
∘
=540
∘

2 Set up the equation: x + 2x + (x+30) + (x-10) + (x+30) = 540
3 Simplify the equation: 6x + 50 = 540
4 Solve for x: 6x = 490
5
x
=
490
6
=
81.
6
ˉ
x=
6
490
​
=81.
67
Hope I was able to help :)
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