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Mathematics 17 Online
OpenStudy (anonymous):

Could someone check this?(: {Find m<1 & m<2}

OpenStudy (anonymous):

OpenStudy (anonymous):

Here's my answer.

OpenStudy (anonymous):

I kno m<1 should - 110 for sure.

OpenStudy (anonymous):

=*

ganeshie8 (ganeshie8):

good :)

ganeshie8 (ganeshie8):

for finding angle2, first find its supplemental angle

OpenStudy (mathstudent55):

m<1 is correct.

OpenStudy (anonymous):

110- supplement?

ganeshie8 (ganeshie8):

\(\angle OSK = (49+107)/2\)

ganeshie8 (ganeshie8):

subtract above from 180 to get \(\angle 2\)

OpenStudy (anonymous):

110=49+107/2 like that?

ganeshie8 (ganeshie8):

\(\angle OSK \) is the supplement angle for \(\angle 2\)

OpenStudy (mathstudent55):

The measure of the angle formed by a tangent and a chord is half the measure of the arc. |dw:1372784820280:dw|

OpenStudy (anonymous):

i got 103 degrees.

ganeshie8 (ganeshie8):

looks wrong

OpenStudy (anonymous):

for m<2=103 ?

ganeshie8 (ganeshie8):

check ur calculation again

OpenStudy (anonymous):

102*

ganeshie8 (ganeshie8):

thats right !

OpenStudy (anonymous):

thanks!(:

OpenStudy (anonymous):

So my answer was B instead of C.

OpenStudy (mathstudent55):

The arc you need is arc(SJK) m(arc)SJ = 113 m(arc)JK = 360 - 113 - 49 - 107 = 91 m(arc)SJK = 113 + 91 = 204 m<2 = (1/2)m(arc)SJK = 204/2 = 102

ganeshie8 (ganeshie8):

B = \(\checkmark\)

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