Measure of a verticle angle is 7x+182 and another angle is 9x+194 solve for x

1 answer:

4 0

The measures of 2 vertical angles are always equal, so we have:

7x+182=9x+192.

Rearranging, we have 182-192=9x-7x, which simplifies to -12=2x.

Thus, x=-6.

This means that the angles are:

i) 7x+182=7(-6)+182=182-42= 140(degrees).

ii) <span>9x+194=9(-6)+194=194-54=140 (degrees, as expected.)

Answer: x=-6</span>

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