Respuesta :

It is B. 61 degrees, you can estimate.

Answer:

B. [tex]61^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a quadrilateral. We are asked to find the measure of angle D.

We can see that angle A and angle D are equal, so we can represent measure of both angles as [tex]2D[/tex].

We know that all the interior angles of a quadrilateral are equal to 360 degrees, so we can set an equation as:

[tex]2D+98^{\circ}+140^{\circ}=360^{\circ}[/tex]

[tex]2D+238^{\circ}=360^{\circ}[/tex]

[tex]2D+238^{\circ}-238^{\circ}=360^{\circ}-238^{\circ}[/tex]

[tex]2D=122^{\circ}[/tex]

[tex]\frac{2D}{2}=\frac{122^{\circ}}{2}[/tex]

[tex]D=61^{\circ}[/tex]

Therefore, the measure of angle D is 61 degrees and option B is the correct choice.

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