Answer:
110.5°
Explanation:
You want the measure of angle ILD given that it intercepts long arc IWD which has a measure 41° more than that of a semicircle.
Long arc
The measure of long arc IWD is ...
arc IWD = arc IW +arc WD
arc IWD = 180° +41° = 221°
Inscribed angle
The measure of inscribed angle ILD is half the measure of the arc it intercepts.
angle ILD = 1/2(arc IWD) = 1/2(221°)
angle ILD = 110.5°.
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