If the measure of angle T is 5x-10, find the measure of each of the following: the supplement of Angle T. And the complement of Angle T.

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T = 5x - 10  degrees

Let T' be the supplement angle of T.

Then:

T + T' = 180

==> 5x - 10 + T' = 180

==> T' = 180 - 5x + 10

           = 190 - 5x

Then the supplement angle is (190-5x) degrees.

Now let...

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T = 5x - 10  degrees

Let T' be the supplement angle of T.

Then:

T + T' = 180

==> 5x - 10 + T' = 180

==> T' = 180 - 5x + 10

           = 190 - 5x

Then the supplement angle is (190-5x) degrees.

Now let T'' be the complement angle of T:

Then,

T + T'' = 90

5x - 10 + T'' = 90

==> T'' = 90 - 5x + 10

           = 100 - 5x

Then the complement angle is (100 - 5x) degrees

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