Final answer:
Angle 1 measures 119 degrees, and angle 2 measures 61 degrees. They are supplementary, and angle 1 is twice angle 2 minus three degrees.
Step-by-step explanation:
When angles 1 and 2 are supplementary, their measures add up to 180 degrees. To find the measures of each angle, we can set up an equation based on the given information that the measure of angle 1 is three degrees less than twice the measure of angle 2. Let's let the measure of angle 2 be x degrees.
Therefore, the measure of angle 1 can be expressed as 2x - 3 degrees. Since they are supplementary, their sum is 180 degrees, which gives us the following equation:
- Angle 1 + Angle 2 = 180 degrees
- (2x - 3) + x = 180 degrees
- 3x - 3 = 180 degrees
- 3x = 183 degrees
- x = 61 degrees
Now, we know angle 2 measures 61 degrees. To find angle 1, we substitute x back into the expression for angle 1:
- Angle 1 = 2x - 3 = 2(61) - 3
- Angle 1 = 122 - 3
- Angle 1 = 119 degrees
The measure of angle 1 is 119 degrees, and the measure of angle 2 is 61 degrees.