What frequently follows "definition of supplements" in proofs?

Find the supplement of the complement of 49 degrees.

Which of the following statements is NOT true?

		Q is the vertex of angles PQS, SQR, and PQR.
		PQS and PQR are adjacent angles.
		mPQR = mPQS + mSQR
		T is in the interior of PQS.
		P is in the exterior of RQS.

Daniel was cleaning up a big mess. A forklift operator accidentally dropped a large load of carpenters' squares (which are actually triangles). They were all over the place. Some were shaped like equilateral triangles (they were defective), and others were shaped like isosceles triangles. Is this a good classification system for Daniel to use to begin sorting them back into their proper piles? Explain. Can you think of a better one?

Savannah needed to sketch out a 45° angle in the sand, but all she had was a stick forked at an angle of about 30°. She had an idea for how to use the forked end of the stick as a gauge to mark out the angle she needed. How could she do it?

Nicole slices a pumpkin pie into equal sectors through the center of the pie. There are 12 slices. If 2 of the slices are removed, what angle do the remaining slices make? If necessary, round your answer to the nearest hundredth of a degree.

If Ms. Floop cuts a cake into slices (through the center of the cake) that have a vertex angle of 15°, how many such whole slices can be made from half a cake?

Two lines, and , intersect at point E. Find the values of x and y given that mAED = (10x + 9y), mAEC = (xy), and mCEB = (15x).

Is the set (30, 60, 90) a set of supplementary angles?

Find two supplement angles in the ratio of 7:5