Answer: 127°
Step-by-step explanation: In the triangle shown, angle x is an exterior angle because it's formed when one side of the triangle is extended. To find the value of x, we use the exterior angle theorem.
This tells us that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. The remote interior angles are all the angles except for x.
So all we need to do is add 47 + 80 and we get a sum of 127.
This means that x is equal to 127°.