Preston drew four angles shown below.

part a:

which pair of angles are complementary?

which pair of angles are supplementary?

part b:

in the space below, explain your steps on how you determined your answers. be sure to show your work.

Complementary angles are angles which add to 90 degrees, and supplementary angles are angles which add the 180 degrees.

So A and D are complementary, and B and C are supplementary.

To determine these answers, you can make note of which angles are acute (less than 90 degrees) and which angles are obtuse (more than 90 degrees). Because complementary angles add to 90, they both must be acute. Angles A and D work because 59+31 = 90.

Similarly, supplementary angles add to 180, therefore one of the angles must be obtuse. B is the only obtuse angle.. 119 + 61 = 180.

D. 10x is the correct answer a and c are the common factor of 30 and 20 but it’s not the greatestonly b and d are the answers since 30x^3 -20x20x only have one x and 30 have 3 xso it can only be d.10xhope this will !