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Mathematics 7 Online
OpenStudy (sbuck98):

Circle problem

OpenStudy (sbuck98):

Directrix (directrix):

The two angles marked in blue are central angles of the circle. They are vertical angles and are congruent which means they have the same measure.

Directrix (directrix):

The measure of a central angle is the same as its intercepted arc. See attached theorem.

OpenStudy (sbuck98):

So, 70+70=140

Directrix (directrix):

@sbuck98 What do you think is the measure of <FOE ?

OpenStudy (sbuck98):

40? because 180-40=40

Directrix (directrix):

>>70+70=140 is a true statement but not the measure of <FOE.

Directrix (directrix):

m<ZOH = 70. m<ZOH = m<FOE m<FOE = ?

OpenStudy (sbuck98):

I'm not sure how to find it

Directrix (directrix):

>>40? because 180-40=40 Please read what I am posting.

Directrix (directrix):

This is a way to find it: m<ZOH = 70. m<ZOH = m<FOE m<FOE = ?

Directrix (directrix):

If two angles have the same measure and one of them is 70, what is the other?

OpenStudy (sbuck98):

70

OpenStudy (sbuck98):

@Directrix

OpenStudy (sbuck98):

then 180-70=110 so that's my answer correct?

Directrix (directrix):

>>70 Yes, that is what I got.

Directrix (directrix):

I don't know what is going on here: >> then 180-70=110 so that's my answer correct?

OpenStudy (sbuck98):

a whole circle is 180 so I was thinking I had to subtract to find the actual angle degree, sorry I was wrong....

Directrix (directrix):

>>110 That is the measure of < EOZ. We are not asked to find that.

Directrix (directrix):

Don't be sorry. Wrong answers eventually lead to the correct answer if we keep working. >>a whole circle is 180 The entire circle is 360 degrees.

OpenStudy (sbuck98):

@xavier123

OpenStudy (anonymous):

<FOE and <ZOH are equal... hence, 70 :)

OpenStudy (sbuck98):

ok!

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