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In a parallelogram, if angle Q is parallel to 108º, what is the measure of angle R?

A) 72º
B) 108º
C) 180º
D) 252º

1 Answer

3 votes

Final answer:

In a parallelogram, angle R would be equal to angle Q, which is 108°, because opposite angles in a parallelogram are congruent.

Step-by-step explanation:

In a parallelogram, opposite angles are equal. Since angle Q is given as 108°, and if angle R is the opposite angle, then it too must measure 108°. It's one of the properties of a parallelogram where opposite angles are congruent.

In a parallelogram, opposite angles are congruent, meaning they have equal measures. This property arises from the parallel sides of the parallelogram. Given that angle Q is specified as 108°, by the opposite angles property, angle R, which is opposite angle Q, must also measure 108°. This symmetry is a fundamental characteristic of parallelograms and contributes to their geometric properties. The sum of adjacent angles in a parallelogram is always 180°, reflecting the parallelism of opposite sides. Such geometric principles are essential in geometry, providing a basis for understanding and solving problems related to angles and shapes.

User Rob Apodaca
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