Answer:
B
Explanation:
So, first lets start of with what supplement means? Well, supplement of angle 1 really just means that angle 1 and 3 are supplementary angles.
What are supplementary angles?
They are angles that can be added up to 180 degrees.
Dont get these confused with complementary angles, which add up to 90 degrees.
So, now that we know this, lets solve for our angle 3.
We can use this to solve:
angle 1 + angle 3 = 180 degrees.
Now, we know that angle 3 is 64 degrees. Lets inlcude this in our equation:
angle 1 + 64 degrees = 180 degrees.
Now lets solve for angle 1:
angle 1 = 116
This is because we subtracted 64 from both sides to get angle 1 alone, and 180-64=116.
Now, lets look at the answers
A = 64 degrees
B = 116 degrees
C = 26 degrees
D = 128 degrees.
Now we know it must be B, since that answer is 116 degrees.
Hope this helps! :)