If the measure of angle 1 = 36 degrees and the measure of angle 2 = x + 3, what is the measure of angle 3?
36 + x + 3 + x + 180
39 + 2x = 180
39-39 + 2x = 180 +39
2x =219
x = 109.5
If the problem says that one angle of a triangle is three more than the other, then
36 + x + x+3 = 180
2x = 141
x = 70.5
You subtracted 39 on the left, but added 39 on the right.
To find the measure of angle 3, we need to take into account that the sum of the angles in a triangle is always 180 degrees.
Given that angle 1 measures 36 degrees and angle 2 measures x + 3 degrees, we can set up the equation:
angle 1 + angle 2 + angle 3 = 180
Substituting the given values, we have:
36 + (x + 3) + angle 3 = 180
To isolate angle 3, we can simplify the equation:
39 + x + angle 3 = 180
Next, we subtract 39 and x from both sides:
angle 3 = 180 - 39 - x
Simplifying further:
angle 3 = 141 - x
Therefore, the measure of angle 3 is 141 degrees minus x.