Which of the following figures is a quadrilateral?
Hint
Look for the figure that has 4 sides.
Answer
Figure (B)
Oh, come on. This is a cinch!
Figure (A)
Identify the opposite sides in quadrilateral ABCD.
Opposite sides mean they don't have any vertices in common. None at all.
AB is opposite CD and BC is opposite AD.
In the quadrilateral shown, ∠A measures 90°, and ∠B and ∠C each measure 30°. What is the measure of ∠D?
Quadrilaterals have a total of 360 degrees worth of interior angles.
210°
A quadrilateral has angles that measure 130°, 60°, and 70°. What is the measure of the remaining angle?
If you split up a quadrilateral, it makes two triangles. Now how about that Triangle Sum Theorem?
100°
A quadrilateral has an angle that measures 150°. Its remaining three angles are all congruent. What are the measures of these three angles?
If two (or three) angles are congruent, they have the same exact measure. No lie.
All three angles are 70° in measure
The four angles of a quadrilateral are given by the expressions 68 + x, 12x – 21, 3x + 7, and x. What are the measures of each of these angles?
All four angles in a quadrilateral add up to 360. After that, it's algebra to the rescue.
18°, 61°, 86°, and 195°
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