Analyze the diagram below and complete the instructions that follow.

B

Step-by-step explanation:

Since we know these are congruent triangles. To find RS, we know that RS is equal to UV, denoted by the marker and the angles. We can set RS and UV equal to each other.

7x-2=5x+18          [Move like terms onto same side by adding and subtracting]

2x=20                  [Divide both sides by 2]

x=10

Now that we know x, we must substitute it back into RS to find the actual length.

7(10)-2=70-2=68

Since RS=68, we can eliminate A and D, where RS does not equal 68.

Next, we know ∠Q and ∠T are congruent, so we can set them equal to each other.

8y-44=5y+7          [Move like terms onto same side by adding and subtracting]

3y=51                    [Divide both sides by 3]

y=17

Now that we know y, we can plug it back into ∠T and find the angle value.

5(17)+7=85+7=92°

This makes our answer choice, B.

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