Mathematics: Find measure of angle d a. 122 degrees b. 61 degrees c. 238 degrees d. not enough information

aStep-by-step explanation: I took this exact test...

Find measure of angle d a. 122 degrees b. 61 degrees

aj12381

12.03.2022

B. $61^{\circ}$

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 .

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

$2D+98^{\circ}+140^{\circ}=360^{\circ}$

$2D+238^{\circ}=360^{\circ}$

$2D+238^{\circ}-238^{\circ}=360^{\circ}-238^{\circ}$

$2D=122^{\circ}$

$\frac{2D}{2}=\frac{122^{\circ}}{2}$

$D=61^{\circ}$

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

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