Solve for all missing measures

Step-by-step explanation:

Begin

If this is a rhombus then <8 = 90 degrees as do all the central angles. That's because the diagonals intersect at right angles.

<4 = 38                   z formation for parallel lines.

<7 = 52                   The angles are part of a right angle triangle. <7 +38 = 90

<2 = 52                   z formation of parallel lines (a rhombus has ll lines).

<3 = 38                   The diagonals of a rhombus bisect each other.

<5 = 38                   z formation for parallel lines.

<6 = 52                   The diagonals of a rhombus are angle bisectors.

<1 = 52                     The diagonals of a rhombus are angle bisectors.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80