Question

set up and solve an equation to find the missing value. x° 78° 52° o x = 52 o x = 39 o x = 44

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, we set up the equation \(x + 78+52=180\).

Step2: Simplify the left - hand side

\(x+(78 + 52)=x + 130\). So the equation becomes \(x+130 = 180\).

Step3: Solve for x

Subtract 130 from both sides: \(x=180 - 130\).
\(x = 50\) (It seems there is an error in the provided options as the correct value of \(x\) is 50).

Answer:

None of the provided options are correct. The correct value of \(x\) is 50.