Question

question 1 (2 points)
state the angle relationship (complementary, supplementary, vertical) and then find the value of x.
angle relationship =
x =

Explanation:

Step1: Identify angle - relationship

The two angles form a straight - line. Supplementary angles add up to 180 degrees. So the angle relationship is supplementary.

Step2: Set up an equation

Since the two angles are supplementary, we have the equation $(3x - 5)+(2x + 20)=180$.

Step3: Simplify the left - hand side of the equation

Combine like terms: $3x+2x-5 + 20=180$, which simplifies to $5x+15 = 180$.

Step4: Solve for x

Subtract 15 from both sides: $5x=180 - 15$, so $5x=165$. Then divide both sides by 5: $x=\frac{165}{5}=33$.

Answer:

angle relationship = supplementary
x = 33