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25 votes
25 votes
Determine m∠U if m∠R = 9x - 10 and m∠U = 3x + 4.

Determine m∠U if m∠R = 9x - 10 and m∠U = 3x + 4.-example-1
User Nayana
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3.1k points

1 Answer

15 votes
15 votes

Answer:

50.5 degrees

Explanation:

Since this is a parallelogram then...

Angle U + Angle R = 180

3x+4+9x-10=180

Combine like terms

12x-6=180

Add 6 to both sides

12x=186

Divide both sides by 12

x=15.5

Now we plug 15.5 in for x to find Angle U

3(15.5)4=46.5+4=50.5

Angle U = 50.5 degrees

User Audra
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3.0k points