Answer: Therefore, the measures of the interior angles are:
Angle A = 48°
Angle B = -92 + x
Angle C = 224 - x
Step-by-step explanation: To find the measures of the interior angles, we'll use the fact that the sum of the interior angles of a triangle is always 180 degrees.
Let's denote the angles as follows:
Angle A = ZA = 48°
Angle B = ZB
Angle C = ZC
From the information given, we know that angle A is 48 degrees. We can find angle C by subtracting the given value (x-44) from 180 since it is the supplementary angle to angle C.
Angle C = 180 - (x - 44) = 224 - x
Now, we can use the fact that the sum of the interior angles of a triangle is 180 degrees to find angle B.
Angle A + Angle B + Angle C = 180
Substituting the known values:
48 + ZB + (224 - x) = 180
Simplifying the equation:
272 - x + ZB = 180
ZB = 180 - 272 + x
ZB = -92 + x