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26-02-2015
Mathematics

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Sagot :

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AL2006 AL2006 · Answer 1 · 2015-02-26T18:44:34-05:00

Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
   10x- 9 = 9x

Subtract 9x from each side: x - 9 = 0

Add 9 to each side:    x    = 9

Now that we know what 'x' is, we can find the size of Angles-5 and -7 .

Angle-7 = 9x = 81° .

Now look at Angle-6 ... the one that's the answer to the problem.

Angle-6 and -7 together make a straight line, so they must
add up to 180°.

   Angle-6 + 81° = 180°

Subtract 81° from each side: Angle-6 = 99° .

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