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5 votes
5 votes
1. m∠QPR =

2. m∠QTP =

3. RP =
Show all the work

1. m∠QPR = 2. m∠QTP = 3. RP = Show all the work-example-1
User William Booth
by
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1 Answer

22 votes
22 votes

Answer:

1. 30°

2.90°

3. 12 units

Explanation:

I can't believe there's nothing confirming that this is a parallelogram/a rhombus?! Assuming is awful, and I wish you could say you can't know for sure lol but for the sake of this answer, let's just call it a rhombus. (There was probably some context elsewhere that you didn't put over here, hopefully.)

1.

The reason I say this is: in a rhombus, the diagonals bisect the angles. This means that the diagonals split the angles they meet into two equal parts. That way, it would make sense. m∠QPR=m∠SPR=30°.

2.

If it is a rhombus, the diagonals are perpendicular to each other, so m∠QTP should be 90°.

3.

Diagnonals in a rhombus (and in any parallelogram) bisect each other, so PT=TR=6, and RP=PT+TR=12 units.

Sorry if this is all dreadfully wrong, and I hope I helped you!

User Bolaji
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3.3k points