Answer:
fifth angle = 102°
Step-by-step explanation:
A pentagon is a polygon that have 5 sides. A pentagon can be divided into 3 triangles .And the sum of angle in a triangle is 180°. Therefore the sum of interior angle in a pentagon will be 180 × 3 = 540°. The sum of interior angles of a pentagon = 540°.
The general rule for calculating sum of the interior angles of a polygon is
sum of interior angle = (n−2) × 180°
where
n = number of sides
n = 5 since we are dealing with a pentagon.
sum of interior angle of a pentagon = 540°
The fifth angle can be computed when you subtract the sum of the 4 angles from 540°.
fifth angle = 540 - (88 + 118 + 132 + 100)
fifth angle = 540 - 438
fifth angle = 102°
