hadeelalniamia
hadeelalniamia hadeelalniamia
  • 13-06-2021
  • Mathematics
contestada

help me find the size of the rhombus :)

help me find the size of the rhombus class=

Respuesta :

mathmate
mathmate mathmate
  • 13-06-2021

Answer:

Step-by-step 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°

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