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Z.11 Find missing angles in quadrilaterals II
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A parallelogram has one angle that measures
. What are the measures of the other three angles in the parallelogram?
-
, and
。
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67%
Exit
Z.11 Find missing angles in quadrilaterals II
Video
Example
0
Submit
Not ready yet?
Ask by Bush Simmons. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
All four angles in the parallelogram are
.
Solution
-
In any parallelogram, opposite angles are equal and consecutive angles are supplementary (i.e., they add up to
). -
Since one angle is given as
, its consecutive angles must satisfy which gives -
The angle opposite the given
is also . -
Therefore, all four angles in the parallelogram are
.
The measures of the other three angles are
,
, and
.
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Beyond the Answer
In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (they add up to
). So, if one angle measures
, the opposite angle will also measure
. The two adjacent angles will each measure
since
, thus making the missing angles also
.
Think of a parallelogram as a type of rectangle for this problem! The unique property of parallelograms means that if one angle is
, all angles are effectively
. So, it’s not just an angle-checking exercise; you’ve ended up with a square! How fun is that?