which statement about the value of x is true?\no x > 38\no x < 39\no x < 77\no x > 103
which statement about the value of x is true?\no x > 38\no x < 39\no x < 77\no 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 (which is (x^{\circ})) is equal to the sum of the angles at P and O.
Step2: Calculate the value of (x)
We know that the angle at P is (38^{\circ}) and the angle at O is (39^{\circ}). So, (x=38 + 39). [x=77^{\circ}]
Step3: Analyze the options
- Option 1: (x>38). Since (x = 77), (77>38), this is true.
- Option 2: (x<39). Since (x = 77), (77>39), this is false.
- Option 3: (x<77). Since (x = 77), this is false.
- Option 4: (x>103). Since (x = 77), (77<103), this is false.
Answer:
(x>38)