Finding missing angles

The  exercise appears under the 7th grade (U.S.) Math Mission. This exercise uses several facts about the angles to practice finding missing angles in geometric diagrams.

Types of Problems
There is one types of problems in this exercise:


 * 1) Find the measure in labeled angle: This problem provides a standard transversal diagram with some information and a missing angle. The student is expected to use the angle facts to find the missing angle. Finding missing angles.PNG

Strategies
Knowledge and comfort with the angle theorems are instrumental to doing this exercise correctly.
 * 1) With transversals and parallel lines, alternate interior angles, corresponding angles, and alternate interior angles are congruent. Additionally, same-side interior and exterior angles are supplementary.
 * 2) With intersecting lines vertical angles are congruent, perpendicular lines form right angles, and the sum of the angles in a line is $$180^\circ$$.

Real-life applications

 * 1) Geometric concepts, such as the ones used in this exercise, are instrumental in architecture (drafting), art and graphical design.
 * 2) Geometry is important for computer aided design.