Question

what is the value of x? x - 26° x + 11° x - 28° x =

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, \((x - 26)+(x - 28)+(180-(x + 11))=180\).

Step2: Simplify the left - hand side of the equation

First, expand the equation: \(x-26+x - 28+180 - x - 11 = 180\).
Combine like - terms: \((x+x - x)+(-26-28 - 11)+180 = 180\), which gives \(x+( - 65)+180 = 180\), or \(x + 115 = 180\).

Step3: Solve for x

Subtract 115 from both sides of the equation: \(x=180 - 115\).

Answer:

\(x = 65\)