To find the value of x in the triangle, add the known angles (53° and 44°) and subtract their sum from 180°, which results in x being 83°.
The value of x in a triangle where one angle measures 53 degrees, the second angle measures 44 degrees, and the third is x, can be found using the fact that the sum of all angles in a triangle is 180 degrees. According to the Triangle Angle Sum Theorem:
53 ° + 44 ° + x = 180 °
Solving for x, we combine the known angles:
97 ° + x = 180 °
Subtract 97 degrees from both sides:
x = 180 ° - 97 °
x = 83 degrees
Therefore, the value of x is 83 degrees.