151k views
2 votes
Help me find the size of the rhombus :)

Help me find the size of the rhombus :)-example-1

1 Answer

3 votes

Answer:

Explanation:

The diagonals of a rhombus divides it into four congruent right triangles. Each triangle is a mirror image of the adjacent.

Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.

Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.

To summarize,

angle 1 = 33°

angle 2 = 57°

angle 3 = 57°

angle 4 = 33°

User Alexkrishnan
by
4.3k points