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7. (5x - 7)° (8x - 55)° x = 9

Question

  1. (5x - 7)° (8x - 55)° x = 9

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the base - angles are equal. So, \(5x - 7=8x - 55\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides: \(-7 = 3x-55\).
Add \(55\) to both sides: \(48 = 3x\).
Divide both sides by \(3\): \(x = 16\).

Answer:

\(16\)