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Mathematics 9 Online
OpenStudy (anonymous):

If the measure of is 232°, what is the measure of ∡DEF?

OpenStudy (anonymous):

OpenStudy (anonymous):

what is 232 deg?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

If the measure of ? is 232°

OpenStudy (ash2326):

Which angle measures 232 degrees?

OpenStudy (anonymous):

OpenStudy (anonymous):

This is what goes next to the 232

OpenStudy (anonymous):

Yes, but what's the first angle given?

OpenStudy (anonymous):

they only gave me 232

OpenStudy (ash2326):

That's the angle of arc DEF

OpenStudy (anonymous):

Ok. Now it's solvable

OpenStudy (anonymous):

angle DEF=64

OpenStudy (anonymous):

Angle DEF is an inscribed angle of a circle. It cuts off an arc of 128 degrees. [360-232] The measure of an inscribed angle of a circle = one-half of its intercepted arc. The measure of angle DEF is 1/2 (128) = 64

OpenStudy (anonymous):

Gotcha

OpenStudy (anonymous):

@nzikp has provided the explanation

OpenStudy (ash2326):

Great work @nzikp :D

OpenStudy (anonymous):

I have one more as well!

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