Question

using algebra find the value of x. (review 4.1) 51. (2x + 6)° 40° x°

Explanation:

Step1: Use the 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, \(2x + 6=x + 40\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides of the equation: \(2x - x+6=x - x + 40\), which simplifies to \(x+6 = 40\).
Then subtract 6 from both sides: \(x+6 - 6=40 - 6\).

Answer:

\(x = 34\)