McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
2. Parallelograms
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Exercise 1 Page 407

a Let's start with recalling that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary. In our exercise, we are given that and asked to find Let be represented by
As we can see, and are consecutive angles in this parallelogram. Therefore, the sum of the measures of these two angles is equal to as they are supplementary angles.
The measure of is
b Now, we will start with recalling that if a quadrilateral is a parallelogram, then its opposite angles are congruent. In our exercise, we are given that and asked to find Let be represented by
As we can see, and are opposite angles in this parallelogram. Therefore, these two angles have the same measure.
c We will begin with recalling that if a quadrilateral is a parallelogram, then its opposite sides are congruent. In our exercise, we are given that the length of is and asked to find the length of Let the length of be represented by
As we can see, and are opposite sides in this parallelogram. Therefore, these two sides have the same length.