Question

Find the value of x(Options are included in the photo)

Answer 1

23

Explanation

Complementary angles are pair angles with the sum of 90 degrees, so we can say that

$\begin{gathered} (3x-9)\text{ and }(x+7) \\ \end{gathered}$

are complementary angles, therefore

$(3x-9)\text{ and }(x+7)$

Step 1

so,we need to equals to 90 and solve for x

$\begin{gathered} (3x-9)\text{ and }(x+7) \\ (3x-9)\text{ + }(x+7)=90 \\ 3x-9+x+7=90 \\ \text{add like terms} \\ 4x-2=180 \\ \text{add 2 in both sides} \\ 4x-2+2=90+2 \\ 4x=92 \\ \text{divide both sides by 4} \\ \frac{4x}{4}=\frac{92}{4} \\ x=23 \end{gathered}$

so, the answer is

23

I hope this helps you