Question

find the value of x. 45° 5(x + 7)° x =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle measuring $45^{\circ}$ and the angle measuring $5(x + 7)^{\circ}$ are vertical angles. So, $5(x + 7)=45$.

Step2: Expand the left - hand side

Using the distributive property $a(b + c)=ab+ac$, we get $5x+35 = 45$.

Step3: Isolate the variable term

Subtract 35 from both sides of the equation: $5x+35 - 35=45 - 35$, which simplifies to $5x = 10$.

Step4: Solve for x

Divide both sides of the equation by 5: $\frac{5x}{5}=\frac{10}{5}$, so $x = 2$.

Answer:

$2$