Question

nd the value of x using the figure, shown to the right. value of x is (simplify your answer. do not include the degree symbol in your answer.) 3(x + 2)° 81°

Explanation:

Step1: Identify angle - relationship

Since the two angles are corresponding angles (formed by a transversal intersecting two parallel lines), they are equal. So, we set up the equation $3(x + 2)=81$.

Step2: Expand the left - hand side

Using the distributive property $a(b + c)=ab+ac$, we have $3x+6 = 81$.

Step3: Isolate the variable term

Subtract 6 from both sides of the equation: $3x+6−6=81 - 6$, which simplifies to $3x=75$.

Step4: Solve for x

Divide both sides of the equation by 3: $\frac{3x}{3}=\frac{75}{3}$, so $x = 25$.

Answer:

25