Quadrilateral angles

The topic  appears under the 7th Grade Math Mission. This exercise analyzes the relationships between angles in quadrilaterals.

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


 * 1) Find the missing angle: This problem provides a diagram or describes a quadrilateral with some given information. The student is asked to find the measure of a particular angle and write it in the space provided.Qa1.png

Strategies
Knowledge of the various quadrilaterals would help ensure completion of this exercise.
 * 1) The opposite angles in parallelograms are congruent, and adjacent angles are supplementary.
 * 2) In a trapezoid the adjacent angles between the bases are supplementary. In addition, if the trapezoid is isosceles, then there are two pairs of congruent angles.
 * 3) In a rectangle and square, all angles are right angles and measure 90 degrees.
 * 4) In a kite one of the pairs of opposite angles are congruent, a quick sketch can tell which ones and this can be used to get some answers on this exercise.
 * 5) A rhombus is a parallelogram, and the kite rule also holds.