Question

Using the image below, find the measure of angle ILD. Your answer must be numerical only

Answer 1

Step-by-step explanation

ILD = (180+41)/2=110.5

Answer 2

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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