which statement about the value of x is true? x > 38 x < 39 x < 77 x > 103
which statement about the value of x is true? x > 38 x < 39 x < 77 x > 103
Answer
Explanation:
Step1: Recall exterior - angle property
The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In (\triangle PNO), the exterior angle at (N) is (x^{\circ}), and the two non - adjacent interior angles are (38^{\circ}) and (39^{\circ}).
Step2: Calculate the value of (x)
By the exterior - angle property, (x=38 + 39). So (x = 77).
Answer:
None of the given options are correct. If we assume there is a mis - typing and we consider the concept of the exterior angle being greater than either of the non - adjacent interior angles, since (x=77), and (x>38) and (x>39). The closest correct concept - based answer from the given options is (x>38). So the answer is (x > 38).