Question

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

Explanation:

Step1: Identify angle relationship

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

Step2: Simplify the left - hand side

Combine like terms: $32+5x+3=5x + 35$. So, $5x+35 = 90$.

Step3: Isolate the term with x

Subtract 35 from both sides: $5x=90 - 35$, $5x=55$.

Step4: Solve for x

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

Answer:

B. 11