Question

you can use what you learned about exterior angles of triangles to find the value of x. what is the measure of the exterior angle in the figure? 140° which equation shows that the measure of the exterior angle is the sum of the measures of the non - adjacent interior angles? 140 = x + 90 solve the equation for x. x = ?

Explanation:

Step1: Identify the equation

We have the equation \(140 = x + 90\) from the exterior angle theorem (exterior angle equals sum of non - adjacent interior angles).

Step2: Solve for \(x\)

Subtract 90 from both sides of the equation.
\(140-90=x + 90-90\)
\(50=x\)

Answer:

\(x = 50\)