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Given: m∠LOI=38°, m∠JOP=84°

Find: m∠JKP


10 PTS for 1 Question - 1st correct answer with full explanation gets brainliest - incorrect answer and no explanation will be reported... thanks so much for all the help!

Given mLOI38 mJOP84 Find mJKP 10 PTS for 1 Question 1st correct answer with full explanation gets brainliest incorrect answer and no explanation will be reporte class=

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calculista

Answer:

The measure of angle JKP is [tex]m<JKP=61\°[/tex]

Step-by-step explanation:

step 1

we know that

The measure of the arc is equal to the measure of its central angle

so

[tex]arc\ JP=m<JOP=84\°[/tex]

and

[tex]arc\ IL=m<LOI=38\°[/tex]

step 2

Find the measure of the angle JKP

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

[tex]m<JKP=(1/2)[arc\ IL+arc\ JP][/tex]

substitute the values

[tex]m<JKP=(1/2)[38\°+84\°]=61\°[/tex]

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