Question

what is the value of x? type your answer in the box below. type numerical value with no spaces.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up the equation

Let the three angles of the triangle be 53°, 77°, and \(x\). So, \(53 + 77+x=180\).

Step3: Simplify the left - hand side

First, add 53 and 77: \(53 + 77=130\). The equation becomes \(130 + x=180\).

Step4: Solve for \(x\)

Subtract 130 from both sides of the equation: \(x=180 - 130\).
\(x = 50\)

Answer:

50