Answer:
see explanation
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides )
Here n = 5 , then
sum = 180° × 3 = 540°
Sum the given angles and equate to 540
2b - 90 + 90 + b + 45 + b + [tex]\frac{3}{2}[/tex] b = 540, collect like terms
4b + 1.5b + 45 = 540 ( subtract 45 from both sides )
5.5b = 495 ( divide both sides by 5.5 )
b = 90
then
2b - 90 = 2(90) - 90 = 180 - 90 = 90
b + 45 = 90 + 45 = 135
[tex]\frac{3}{2}[/tex] b = 1.5b = 1.5 × 90 = 135
The angles from least to greatest are
90° , 90° , 90° , 135° and 135°
