Question

question 1

1. solve

your answer

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle measuring $60^{\circ}$ and the angle measuring $3(5 + x)^{\circ}$ are vertical angles. So, $3(5 + x)=60$.

Step2: Expand the left - hand side

Using the distributive property $a(b + c)=ab+ac$, we have $3\times5+3x = 60$, which simplifies to $15 + 3x=60$.

Step3: Isolate the variable term

Subtract 15 from both sides of the equation: $15 + 3x-15=60 - 15$. This gives $3x=45$.

Step4: Solve for x

Divide both sides of the equation by 3: $\frac{3x}{3}=\frac{45}{3}$. So, $x = 15$.

Answer:

$x = 15$