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

Using the image below, find the measure of angle ILD. Your answer must be numerical-example-1
User BenShelton
by
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2 Answers

5 votes

Answer:

Step-by-step explanation

ILD = (180+41)/2=110.5

User Swapna Sourav Rout
by
7.7k points
4 votes

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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User Jeremy Likness
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