Respuesta :

Answer:

[tex]m\angle 1=22^o[/tex]

Step-by-step explanation:

we know that

In a rhombus, opposite angles are congruent, and consecutive angles are supplementary. The diagonals of a rhombus bisect each other.

so

In this problem

[tex]m\angle 1=m\angle 2=m\angle 3=m\angle 4[/tex]

so

[tex]136^o+2m\angle 1=180^o[/tex] ---> by consecutive interior angles

[tex]2m\angle 1=180^o-136^o[/tex]

[tex]m\angle 1=22^o[/tex]

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