Given that <1 and <2 are supplementary angles and that m<1=115 , explain how to find the measure of the complement of <2.
Instead of giving just the answer can you explain in words of how you got the answer please!
the two angles must add to 180 degrees.
So, to get <2, subtract <1 from 180
Complementary angles add to 90, so the complement of 2 is 90 - <2
Or to do it all in one step, if the measure of <1 is x, then the complement of <2 is
90-(180-x) = x-90
A2 = 180 - A1
A2 = 180 - 115 = 65 because they are supplements
90 - 65 = 25 because complements add to 90 degrees
Sure! To find the measure of the complement of <2, we first need to understand that complementary angles add up to 90 degrees. Since <1 and <2 are supplementary angles (which means they add up to 180 degrees), we know that <1 + <2 = 180 degrees.
Now, we are given that the measure of <1 is 115 degrees, so we can use this information to find the measure of <2. We subtract the measure of <1 (115 degrees) from the sum of the measures of <1 and <2 (180 degrees).
180 degrees - 115 degrees = 65 degrees
Therefore, the measure of <2 is 65 degrees.
Next, to find the measure of the complement of <2, we can subtract the measure of <2 from 90 degrees, since complementary angles add up to 90 degrees.
90 degrees - 65 degrees = 25 degrees
So, the measure of the complement of <2 is 25 degrees.