# 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 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**

Two angles are complementary if their sum is 90 degrees.

Two angles are supplementary if their sum is 180 degrees.

Therefore given:

Measure of the angle T = 5x - 10

Measure of complementary angle of T = 90 - (5x - 10)

= 100 - 5x

And measure of supplementary angle of T = 180 - (5x - 10)

= 190 - 5x

Answer:

Complement of T = 100 - 5x

Supplement of t = 190 - 5x

T =5x-10

To find the supplement and compliment of the angle T

Solution:

Given T = 5x10

The measure suplement of angle T is 180 degrees.

So the supplement of the angle T = 180 -(5x-10) degree. = 180-5x+10 degrees= 180+10-5x degrees. = 190-5x degrees.

The complement of the anglt T is 90 -(5x-10) = 90-5x+10 degrees = 100-5x degrees.