Question

Find measure of angle d A. 122 degrees B. 61 degrees C. 238 degrees D. Not enough information

Answer 1

It is B. 61 degrees, you can estimate.

Answer 2

B.
`61^(\circ)`

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
`2D`.

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

`2D+98^(\circ)+140^(\circ)=360^(\circ)`

`2D+238^(\circ)=360^(\circ)`

`2D+238^(\circ)-238^(\circ)=360^(\circ)-238^(\circ)`

`2D=122^(\circ)`

`(2D)/(2)=(122^(\circ))/(2)`

`D=61^(\circ)`

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