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Find the measure of each arc

mNJ=
mMJL=

Find the measure of each arc mNJ= mMJL=-example-1
User ByJeevan
by
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1 Answer

5 votes

Explanation:

as angle KPL is 90°, so is angle NPL, as this is the second half of the NK half-circle.

since angle NPL = 90°, the angle NPM = 90 - 63 = 27°.

that means also angle JPK = 27°.

as the lines NK and MJ are diameters of the circle.

because all these angles are at the center of the circle they are all also arc angles.

arc angle NJ = arc angle NK - arc angle JK =

= 180 - 27 = 153°

the arc angle MJL = the full circle minus 63°.

arc angle MJL = 360 - 63 = 297°

User Chief Wiggum
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