Question

What is the answer pleasee

Answer 1

The value of interior angle x for the given pentagon if found as 88 degrees.

What is termed as the pentagon?

• 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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