Question

find the value of x.
answer - attempt 1 out of 2
additional solution no solution
x =

Explanation:

Step1: Identify angle relationship

The angle $(3x + 9)^{\circ}$ and the $51^{\circ}$ angle are complementary (since they form a right - angle which is $90^{\circ}$).
So, $(3x + 9)+51=90$.

Step2: Simplify the left - hand side

Combine like terms: $3x+(9 + 51)=90$, which gives $3x+60 = 90$.

Step3: Isolate the term with $x$

Subtract 60 from both sides: $3x+60-60=90 - 60$, resulting in $3x=30$.

Step4: Solve for $x$

Divide both sides by 3: $\frac{3x}{3}=\frac{30}{3}$, so $x = 10$.

Answer:

$10$