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QUESTION IMAGE

95 2x - 10

Question

95
2x - 10

Explanation:

Step1: Use exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(2x - 10=x + 95\).

Step2: Solve the equation

Subtract \(x\) from both sides of the equation: \(2x-x-10=x - x+95\), which simplifies to \(x-10 = 95\).
Then add \(10\) to both sides: \(x-10 + 10=95 + 10\).

Answer:

\(x = 105\)