Unknown angle algebra problems

The  exercise appears under the Trigonometry Math Mission. This exercise practices setting up algebraic equations to solve unknown angle problems.

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


 * 1) Solve for the unknown angle $$x$$: This problem provides a sketch of intersecting lines. The student is expected to use the Angle Addition Postulate and Vertical Angles Theorem to solve for angle $$x$$.Unknown angle algebra problems.PNG

Strategies
Many elements of geometric and algebraic knowledge come together in this exercise.
 * 1) Sometimes either the AAP or VAT can be used so whichever is faster would help to increase efficiency.

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.