Question

given m || n, find the value of x and y.
answer attempt 1 out of 2
x =

y =

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding - angles are equal. So, \(2x + 3=3x - 20\).
Solve the equation \(2x+3 = 3x - 20\) for \(x\):
Subtract \(2x\) from both sides: \(3=x - 20\).
Then add 20 to both sides: \(x=23\).

Step2: Use vertical - angles property

The angle \((y - 6)^{\circ}\) and the angle \((2x + 3)^{\circ}\) are vertical angles. Since vertical angles are equal, \(y-6=2x + 3\).
Substitute \(x = 23\) into the equation \(y-6=2x + 3\):
First, find the value of \(2x+3\) when \(x = 23\), \(2x+3=2\times23 + 3=46 + 3=49\).
Then, solve \(y-6 = 49\) for \(y\). Add 6 to both sides of the equation: \(y=55\).

Answer:

\(x = 23\), \(y = 55\)