Question

find the values of x and y.

x=

y=

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(2x + 25=3x - 10\).

Step2: Solve for \(x\)

Subtract \(2x\) from both sides: \(25=x - 10\).
Add \(10\) to both sides: \(x = 35\).

Step3: Use linear - pair property

\((2x + 25)+y = 180\) (since they form a linear pair).
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:

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