Since the sum of the angles in a triangle is 180 degrees, and one angle is 48 degrees, the sum of the other two angles must be 180 - 48 = 132 degrees.
Since an obtuse triangle has one angle greater than 90 degrees, we know that one of the other two angles must be greater than 90 degrees.
Since x represents one of the angles, it cannot be equal to 48 degrees (option A).
Since an obtuse triangle must have one angle greater than 90 degrees, x cannot be equal to 42 degrees (option B) because it is less than 90 degrees.
Therefore, the only possible value for x in this case is 222 degrees (option C).
Solve for x.
Obtuse triangle with 48 degrees 1 angle
x in another angle
Responses
A. x=48 degrees
B. x=42 degrees
C. x=222 degrees
1 answer