< 1 and < 2 are supplementary angles that equal 180. So < 2 will measure (180 - 79) = 101
In this problem we have to find the measure of angle 1 and angle 2.
So, we know by definition that all internal angles of a parallelogram must sum 360°. That is,
However, by sum of angles, and by supplementary angles, we have
Replacing this angle into the first expression, we have
We know by given that , that means BC and AD are transversals.
So, by alternate interior angles, we have
m < 1 = 95 degrees ( alternate angles theorem of parallel lines)
m < 2 = 180 - 50 = 130 degrees ( internal angles theorem of parallel lines).