Question

Angles S and T are complementary angles.
If Angle S = (2x - 12)º and
Angle T = xº.

4. What is the measure of Angle T?
5. What is the measure of Angle S?​

Answer 1

Answer:

Angle T = 34

Angle S = 56

Step-by-step explanation:

Complementary angles are two angles that add up to a total of 90 degrees. This means that angle S plus angle T would have to equal 90 degrees. From this, we can set an equation.

90=(2x-12)+x

This would simplify to 90=3x-12

Add 12 to both sides to get 102=3x

Divide both sides by 3 to get the value of x

(Through these 2 steps, we have isolated x and found the value of it)

x=34

Since angle T=x, the value of angle T is 34.

We can solve for angle S by solving the equation 2x-12, but there is an easier way.

We know that angle S plus angle T equals 90, and we already know the value of angle T.

Therefore, all we have to do is subtract the value of angle T from 90 to get the value of angle S.

90-34=56.

The value of angle S is 56.

Hope this helps :)