Answer :
Final answer:
In a rhombus, if angle QPS is 50 degrees, then angle RQS, adjacent to QPS along the diagonal, is 40 degrees due to the diagonals being perpendicular bisectors.
Explanation:
In a rhombus, the pairs of opposite angles are equal. Also, the diagonals of a rhombus are perpendicular bisectors of each other. This means they cut each other at 90 degrees.
Given that the angle QPS is 50 degrees, you can find the angle RQS by considering that the diagonals form a right angle. Here's how:
- First, we know that the diagonals cut each other at 90 degrees. So if one angle formed at the point of intersection is 50 degrees, the angle beside it will be (90 - 50) degrees or 40 degrees.
- So, angle RQS is 40 degrees because it is adjacent to angle QPS along the diagonal.
In summary, if angle QPS is 50 degrees in a rhombus PQRS, then angle RQS is 40 degrees.
Learn more about Angle Relationships in a Rhombus here:
https://brainly.com/question/16969704
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