The sum of the measures of two angles is 180 degrees. One angle measures 3a and the other angle measures 2a-25 Find a. Then find the measure of each angle.
The sum of the angles equal 180 degrees, so we plug the angle values into an equation: 3a + 2a - 25 = 180. By combining like terms, this becomes: 5a - 25 = 180 Now, if we add 25 to both sides to isolate a, we get: 5a = 205 Finally, we need to divide both sides by 5 to find a, and we get: a = 41
Yay! Now we have a. Now we just plug them into the original values!So: 2(41) - 25 Multiply out: 82 - 25 The first angle is equal to 57.
Then we use the second angle: 3(41) Multiply out: 123 The second angle is equal to 123. Hope this helps! ~Chrys