Find the measure of the numbered angles in the rhombus. The diagram is not to scale.
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Answer:
Option D
Step-by-step explanation:
We are given that a rhombus
We have to find the measure of the numbered angles in the rhombus.
[tex]m\angle 1=90^{\circ}[/tex]
Because diagonal of rhombus intersect at right angles to each other
[tex]m\angle 2=41 ^{\circ}[/tex] (Alternate interior angle theorem)
[tex]90+41+m\angle 3=180[/tex]( triangle sum property)
[tex]131+m\angle 3=180[/tex]
[tex]m\angle 3=180-131[/tex]
[tex]m\angle 3=49^{\circ}[/tex]
Therefore option D is true.