what is the measure of an angle if 3 is subtracted from twice the supplement and the result is 297?

To solve this, we need to define the unknown angle and use the information provided in the problem.

Let the angle be \( x \). The supplement of an angle is \( 180^\circ - x \). 

The problem says that twice the supplement of the angle minus 3 equals 297. We can set up the equation based on this information:

\[
2(180^\circ - x) - 3 = 297
\]

### Step-by-step solution:

1. Expand the equation:
   \[
   2(180 - x) = 360 - 2x
   \]
   So the equation becomes:
   \[
   360 - 2x - 3 = 297
   \]
   Simplifying:
   \[
   360 - 3 - 2x = 297
   \]
   \[
   357 - 2x = 297
   \]

2. Subtract 297 from both sides:
   \[
   357 - 297 = 2x
   \]
   \[
   60 = 2x
   \]

3. Divide both sides by 2:
   \[
   x = \frac{60}{2}
   \]
   \[
   x = 30^\circ
   \]

Thus, the measure of the angle is \( 30^\circ \).

Would you like more details or have any further questions?

Here are 5 questions related to this concept:
1. What is the definition of complementary and supplementary angles?
2. How do you find the complement of an angle?
3. If the angle was tripled instead of doubled, how would the equation change?
4. What is the general formula for finding the supplement of an angle?
5. Can an angle's supplement be smaller than the angle itself?

**Tip**: Always remember that the sum of an angle and its supplement is 180 degrees.

What is the measure of an angle if 3 is subtracted from twice the supplement and the result is 297?

Learn how to find the measure of an angle when 3 is subtracted from twice its supplement and the result is 297. This detailed solution covers algebra and the concept of supplementary angles. Suitable for students in Grades 8-10.

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