Answer
$b=90$
Work Step by Step
Form the equation based on the given information:
$$b+\frac{3}{2}b+(2b-90)+90+(b+45)=540$$
Remove parenthesis and group the like terms:
$$b+\frac{3}{2}b+2b+b-90+90+45=540$$
Collect like terms and solve for $b$:
$$4b+\frac{3}{2}b+45=540$$
$$\frac{8}{2}b+\frac{3}{2}b=540-45$$
$$\frac{11}{2}b=495$$
$$b=495:\frac{11}{2}=495\cdot \frac{2}{11}=45\cdot 2=90$$
$\frac32 b=\frac32\cdot 90=135$
$2b-90=2\cdot 90-90=90$
$b+45=90+45=135$
Using a protractor, the answers are confirmed.
