Question

find the measure of ∠x given y = 18 and the figure below. ∠x = 45 × ° suggested tutorial: learn it: solve a geometry application using a linear equation in one variable. resources watch it ebook

Explanation:

Step1: Set up equation from figure

Since the two - angles are complementary (sum to 90°), we have $x+(2x - y)=90$.

Step2: Substitute y value

Substitute $y = 18$ into the equation: $x+(2x-18)=90$.

Step3: Simplify left - hand side

Combine like terms: $x + 2x-18=3x-18$. So, $3x-18 = 90$.

Step4: Add 18 to both sides

$3x-18 + 18=90 + 18$, which gives $3x=108$.

Step5: Solve for x

Divide both sides by 3: $x=\frac{108}{3}=36$.

Answer:

$36$