Question

find the values of x and y.

x=

y=

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(2x + 25=3x - 10\).
Subtract \(2x\) from both sides: \(25=x - 10\).
Add \(10\) to both sides: \(x = 35\).

Step2: Use linear - pair property

\((2x + 25)+y = 180\) (linear pair of angles).
Substitute \(x = 35\) into \(2x+25\): \(2\times35 + 25=70 + 25=95\).
Then \(95+y = 180\).
Subtract \(95\) from both sides: \(y=180 - 95 = 85\).

Answer:

\(x = 35\)
\(y = 85\)