What is the value of x?
6
8
010
O 12

8

Step-by-step explanation:

The sum of the internal angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5, hence

sum = 180° × 3 = 540°

Each exterior angle plus interior angle = 180°

Subtract each exterior angle from 180 for corresponding interior angle.

180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118

Sum the 4 interior angles and subtract from 540 for 5 th interior angle

5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°

The 5 th interior angle and 12x sum to 180 ( same reason as above )

Hence

12x + 84 = 180 ( subtract 84 from both sides )

12x = 96 ( divide both sides by 12 )

x = 8

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1.0

step-by-step explanation: