Question

Parallelogram T U V S is shown. Angle U is (4 x + 9) degrees and angle V is (6 x minus 29) degrees.


Which angles equal 91°?


angles T and V

angles S and U

angles U and V

angles S and T

Answer 1

Answer:  A) angles T and V

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Explanation:

Angles U and V are adjacent angles since they are right next to each other in the letter sequence TUVS.

When dealing with parallelograms, adjacent angles are always supplementary (meaning they add to 180).

U+V = 180

(4x+9) + (6x-29) = 180

10x-20 = 180

10x = 180+20

10x = 200

x = 200/10

x = 20

Use this x value to find each angle mentioned

• angle U = 4x+9 = 4*20+9 = 89 degrees
• angle V = 6x-29 = 6*20-29 = 91 degrees

We can see that U+V = 89+91 = 180 which helps confirm our answer so far.

Angle V is part of the answer we want. The angle opposite this is angle T.

We can identify a pair of opposite angles by looking at letters where they are separated by some other letter between them.

Opposite angles in a parallelogram are always the same measure. Both angles T and V are 91 degrees.

That means angles U and S are each 89 degrees.

Answer 2

Answer:

The answer is A- angles T and V

Step-by-step explanation:

took test on egde