Question

find the values of x and y.

x=

y=

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. But here, \((2x + 25)^{\circ}\) and \((3x-10)^{\circ}\) are supplementary (they form a linear pair). So, \((2x + 25)+(3x - 10)=180\).

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Step2: Find \(y\)

\(y\) and \((2x + 25)\) are vertical angles. Substitute \(x = 33\) into \(2x+25\).
\(2x+25=2\times33 + 25=66+25 = 91\). So \(y = 91\)

Answer:

\(x = 33\), \(y=91\)