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Mathematics 6 Online
OpenStudy (tylermckinney16):

Help.

rebeccaxhawaii (rebeccaxhawaii):

whats up?

OpenStudy (tylermckinney16):

Question here.

OpenStudy (tylermckinney16):

@Directrix

Directrix (directrix):

Theorem: If a quadrilateral is inscribed in a circle, then the opposite angles of the quadrilateral are supplementary.

Directrix (directrix):

To help you get started, the angles with measures y and 81 are supplementary.

Directrix (directrix):

What equation can be written with y and 81? @TylerMckinney16

OpenStudy (tylermckinney16):

Im not sure lol.

Directrix (directrix):

Supplementary Angles Two Angles are Supplementary when they add up to 180 degrees.

OpenStudy (tylermckinney16):

99?

OpenStudy (tylermckinney16):

180-81=99? 99+81=180

Directrix (directrix):

y + 81 = 180 y = 99 which is what you got.

OpenStudy (tylermckinney16):

Ok awesome :)

Directrix (directrix):

Now, what about the value of x

Directrix (directrix):

The angles with measures x and 112 are also supplementary.

OpenStudy (tylermckinney16):

ok give me a sec ill get it.

Directrix (directrix):

Okay.

OpenStudy (tylermckinney16):

68?

Directrix (directrix):

Correct. 112 + x = 180 x = 68

OpenStudy (tylermckinney16):

awesome so those are the answers :)?

Directrix (directrix):

That is awesome. x = 68 y = 99 @TylerMckinney16

OpenStudy (tylermckinney16):

Thanks :D

Directrix (directrix):

You are welcome.

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