Answer:
(C)68
Explanation:
Given: From the given figure, it is given that arcDC=112° and arcAB=72°.
To find: the measure of DE.
Solution: From the given figure, it is given that arcDC=112° and arcAB=72°.
Now, it is given that ∠DOC=112° and ∠EOC=180° (straight line)
thus, using the property that the sum of angles around a point is 360°, therefore
∠EOD+∠DOC+∠EOC=360°
⇒∠EOD+112°+180°=360°
⇒∠EOD=68°
Thus, the measure of DE is 68.
Hence, option (C) is correct.