Question

find the values of x and y.
x=
y=

Explanation:

Step1: Find \(x\) using vertical angles

Vertical angles are equal. So, \(5x + 4=114\)

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Step2: Find \(y\) using angle - sum property

First, find \(3x-24\) when \(x = 22\). \(3x-24=3\times22-24=66 - 24=42\)
The sum of angles around a point: \(114+(3x - 24)+2y=180\) (linear - pair). Substitute \(x = 22\)

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Answer:

\(x = 22\)
\(y = 12\)