Question

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what is ( mangle aeb )?
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( mangle aeb=square^{circ} )

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(5x - 10=3x + 40\).

Step2: Solve for \(x\)

Subtract \(3x\) from both sides: \(5x-3x - 10=3x-3x + 40\), which gives \(2x-10 = 40\).
Add \(10\) to both sides: \(2x-10 + 10=40 + 10\), so \(2x=50\).
Divide both sides by \(2\): \(x=\frac{50}{2}=25\).

Step3: Find \(m\angle AEB\)

Substitute \(x = 25\) into \(5x-10\).
\(m\angle AEB=5\times25-10=125 - 10=115\).

Answer:

\(115\)