Question

find the value of x and y. (4y - 16)° 68° (2x - 24)° x = y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, \(4y - 16=68\).

Step2: Solve for y

Add 16 to both sides of the equation \(4y - 16=68\): \(4y=68 + 16\), so \(4y=84\). Then divide both sides by 4, \(y=\frac{84}{4}=21\).

Step3: Use corresponding - angle property

Corresponding angles are equal. So, \(2x-24 = 68\).

Step4: Solve for x

Add 24 to both sides of the equation \(2x - 24=68\): \(2x=68 + 24\), so \(2x=92\). Then divide both sides by 2, \(x=\frac{92}{2}=46\).

Answer:

\(x = 46\)
\(y = 21\)