Question

what is the value of x? 2(x + 10)° (3x - 30)° type your answer in the box below. (no spaces).

Explanation:

Step1: Set the angles equal

Since vertical - angles are equal, we set $2(x + 10)=3x-30$.

Step2: Expand the left - hand side

Using the distributive property, $2x+20 = 3x - 30$.

Step3: Move the $x$ terms to one side

Subtract $2x$ from both sides: $20=3x - 2x-30$.

Step4: Simplify and solve for $x$

We get $20=x - 30$. Then add 30 to both sides: $x=20 + 30$.

Answer:

50