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.
3 Answers
hala718 | High School Teacher | (Level 1) Educator Emeritus
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
krishna-agrawala | College Teacher | (Level 3) Valedictorian
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
neela | High School Teacher | (Level 3) Valedictorian
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.