Question

9/25 angles are awesome circuit
x =
a
2x + 10
b
3x + 30
d
c

Explanation:

Step1: Identify angle - sum relationship

Since $\angle ABC+\angle CBD = 90^{\circ}$ (right - angle), we have the equation $(2x + 10)+(3x+30)=90$.

Step2: Combine like terms

$2x+3x+10 + 30=90$, which simplifies to $5x+40 = 90$.

Step3: Isolate the variable term

Subtract 40 from both sides: $5x=90 - 40$, so $5x=50$.

Step4: Solve for x

Divide both sides by 5: $x=\frac{50}{5}=10$.

Answer:

$10$