Identifying supplementary, complementary, and vertical angles

The  exercise is under the 7th grade (U.S.) Math Mission. This exercise practices telling whether two angles are supplementary, complementary, or vertical.

Types of Problems
There is one type of problem in this exercise:


 * 1) What is the relationship between the two angles?: On this problem two angles angle are drawn and the student is asked toIdentifying supplementary, complementary, and vertical angles.PNG

Strategies
Basic knowledge of supplementary, complementary, and vertical angles are required for this exercise.

Vertical angles are angles opposite each other where two lines cross. Complementary angles are when two angles add up to $$90 ^\circ$$. A common case is when they form a right angle. Show me Supplementary angles are when two angles add up to $$180 ^\circ$$. A common case is when they lie on the same side of a straight line. Show me

Real-life Applications

 * 1) Engineers and architects use angles for designs, roads, buildings and sporting facilities.
 * 2) Athletes use angles to enhance their performance.
 * 3) Carpenters use angles to make chairs, tables and sofas.
 * 4) Artists use their knowledge of angles to sketch portraits and paintings.