A
B
C
D
Explanation
Correct answer: D.
Choice D is correct. In the figure shown, the angle marked and the angle marked form a linear pair of angles. If two angles form a linear pair of angles, the sum of the measures of the angles is . Therefore, the value of is .
Desmos solution:
Note: The angles x° and 142° form a linear pair, so their sum is 180.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is less than , not the sum of and .
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect. This is the measure, in degrees, of one of the angles shown.