Question

solve for x.
32°
(5x + 3)°
a 12
b 11
c 5.8
d 29

Explanation:

Step1: Set up equation

The two angles are complementary, so their sum is 90°. We have the equation $32+(5x + 3)=90$.

Step2: Simplify left - hand side

Combine like terms: $32+5x+3=5x + 35$. So the equation becomes $5x+35 = 90$.

Step3: Isolate the variable term

Subtract 35 from both sides: $5x+35-35=90 - 35$, which simplifies to $5x=55$.

Step4: Solve for x

Divide both sides by 5: $\frac{5x}{5}=\frac{55}{5}$, so $x = 11$.

Answer:

B. 11