The value of interior angle x for the given pentagon if found as 88 degrees.
<h3>What is termed as the pentagon?</h3>
- A pentagon is a two-dimensional polygon with 5 sides and 5 angles.
- This shape should have five sides and form a closed two-dimensional figure.
- A closed figure consists of each of its sides intersecting to form vertices.
- Five diagonals connect the five vertices to one‘s opposite vertices in a pentagon shape.
- Each interior angle in a regular pentagon is 108°, so each exterior angle is 72°.
For the given question;
The exterior angles of the pentagon are given in figure.
Find all the interior angles for given angles using linear pair as all are straight lines.
- 180 - 62 = 118
- 180 - 33 = 147
- 180 - 114 = 66
- 180 - 59 = 121
The sum of all the interior angle of pentagon is 540.
Thus,
118 + 147 + 66 + 121 + x = 540
x = 540 - 452
x = 88
Thus, the value of interior angle x for the given pentagon if found as 88 degrees.
To know more about the pentagon, here
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