Answer:
Therefore, one angle measures 122°, and the other measures 58°.
Explanation:
Let x be the measure of one of the angles.
The supplementary angle to this angle will have a measure of 180° - x because supplementary angles add up to 180°.
According to the problem, the angle measures 64° more than its supplementary angle. So, we can write the equation:
x = (180° - x) + 64°
Now, let's solve for x:
x = 180° - x + 64°
Combine like terms:
2x = 244°
Now, divide by 2 to solve for x:
x = 244° / 2
x = 122°
So, one of the angles measures 122°, and its supplementary angle measures:
180° - 122° = 58°
Therefore, one angle measures 122°, and the other measures 58°.