Question

Given that the quadrilateral shown is a rhombus, which statements are correct? A) mz1 = 32° D) m26 = 58° B) m 2 = 58° E) m27 = 32° C) mz3 = 32°

Answer 1

Angle 4 would equal the given angle in the opposite corner so angle 4 = 32 degrees.

The diagonal line is a bisector so angle 3 = the given angle of 32 and then angle 5 would also be 32 degrees.

The two diagonals are perpendicular so angle 8 would be 90 degrees.

The three inside angles of a triangle need to equal 180 so angle 1 would be 180-90-32 = 58 and angle 2 would also be 58.

Here are all the angles:

1 = 58

2 = 58

3 = 32

4 = 32

5 = 32

6 = 58

7 = 58

8 = 90

Now just pick the correct answers