Question

find the values of x and y.
(2x + 25)°
(3x - 7)°
x=
-3

y=
91

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So \(2x + 25=3x - 7\).

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Step2: Use linear - pair property

\((2x + 25)+y = 180\) (since they form a linear pair). Substitute \(x = 32\) into \(2x+25\): \(2\times32 + 25=64 + 25=89\). Then \(89+y=180\), so \(y=180 - 89=91\).

Answer:

\(x = 32\), \(y = 91\)