Question

The supplement of a angle 30 degrees less than twice the measure of the angle itself. Find the angle and supplement

Answer 1

Answer:

The angle: $70\°$

The supplement: $110\°$

Step-by-step explanation:

By definition, if the sum of two angles is 180 degrees, then this angles are called "Supplementary Angles".

Let be:

$x$ the angle (in degrees) and $2x-30$ its suppplement (in degrees).

Therefore, you can write the following equation in order to find the angle and its supplement:

$x+2x-30=180$

Now, you must solve for "x". Then:

$3x=180+30\\\\x=\frac{210}{3}\\\\x=70$

Then:

 $2x-30=2(70)-30=140-30=110$

Answer 2

Answer:

Find the supplement of a 55° angle, in degrees.

Step-by-step explanation: