Answer:
angle CDI = 90 degrees
angle ICE = 128 degrees
Step-by-step explanation:
In a rhombus, the diagnoals bisect each other and are perpendicular to each other
Therefore, angle CDI is a right angle, which has a measure of 90 degrees
Angle ICE needs a little more work
The diagnoals also bisect the opposite angles of a rhombus
Becuase angle bisector MC bisects angle EMI, angle EMC is congruent to angle DMI
We know that angle DMI is 64 degrees, so angle EMC equals 64 degrees
Adding those two angles together, we get that angle EMI equals 128 degrees
In a rhombus, the opposite angles are congruent to each other
Thus, angle EMI is congruent to angle ICE and angle MEC is congruent to angle MIC
Since angle EMI equals 128 degrees, angle ICE must also equal 128 degrees
Hope this helps
