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5.1 assignment possible points: 0.45 algebra find the value of x. diagr…

Question

5.1 assignment
possible points: 0.45
algebra find the value of x.
diagram with expressions x + 11 and 3x + 1, right angles, and an angle bisector
x =

Explanation:

Step1: Set up the equation

Since the two angles are equal (angle bisector property), we have \(x + 11=3x + 1\).

Step2: Solve for \(x\)

Subtract \(x\) from both sides: \(11 = 2x+1\).
Subtract \(1\) from both sides: \(10 = 2x\).
Divide both sides by \(2\): \(x = 5\).

Answer:

\(5\)