What is wrong with this perpendicular bisector?

Question

1. What is wrong with this perpendicular bisector? 2. Find BC. 3. Find MN. 4. Find GF. 5. Find m∠ABD. 6. Find x.

SnapAndSolve AI · Accepted Answer

The perpendicular bisector is supposed to divide the segment into two equal parts. Here, it divides segment QP into parts of 12 and 13, which are not equal.
BC = 2 * 15 = 30. Since AD is the median, it divides BC into two equal parts, each of length 15.
MN = 34. Since angle K is given as 34 degrees and it is an exterior angle, MN is equal to the measure of angle K.
GF = 2.4. Since GE is a median, it divides HF into two equal parts, each of length 2.4.
m∠ABD = 71°. Since ∠ADC is 71° and ∠ABD is a corresponding angle, they are equal.
x = 27. Since RS is parallel to TU and angle RST is a right angle, we have 4x = x + 63. Solving gives x = 27.

Answer