Question

1. if two angles measure 2x + 10 and 3x + 5 and are supplementary, find x. a. 33 b. 35 c. 20 d. 25

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180 degrees. So, $(2x + 10)+(3x + 5)=180$.

Step2: Combine like - terms

$2x+3x + 10 + 5=180$, which simplifies to $5x+15 = 180$.

Step3: Isolate the variable term

Subtract 15 from both sides: $5x=180 - 15$, so $5x=165$.

Step4: Solve for x

Divide both sides by 5: $x=\frac{165}{5}=33$.

Answer:

a. 33