the of a pentagon are (x-1)°,(x-3)°,(x-2)°,(x-4)° and (x-5)°
Find the value of x and the measures of all the angles.
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Answers
Answer:
123
Step-by-step explanation:
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Answer:
110 , 109 , 108 , 107 , 106
Step-by-step explanation:
The sum of the interior angles in a pentagon is 540°.
Given :
Angles of the pentagon are x - 1 , x - 2 , x - 3 , x - 4 , x - 5
So ,
x - 1 + x - 2 + x - 3 + x - 4 + x - 5 = 540
5x - 15 = 540
5x = 540 - 15 = 555
x = 525 / 5 = 111
So, the angles are :
x - 1 = 111 - 1 = 110
x - 2 = 111 - 2 = 109
x - 3 = 111 - 3 = 108
x - 4 = 111 - 4 = 107
x - 5 = 111 - 5 = 106
Hope it was helpful.