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Square m n o p . Angle m is (4 t 20) degrees and angle n is (7 f 6) degrees. mnop is a square. what is the value of t ? t = _________

a. 12
b. 17.5
c. 90
d. 20

1 Answer

3 votes

Final answer:

Upon solving for t in the equation derived from the square's angles, it was found to be 40. However, this result does not match any of the options given, indicating a possible error in the question or the options provided.

Step-by-step explanation:

The question asks for the value of t in a square with given angles expressed in terms of t and f. Since the sum of angles in any square is 360 degrees, and each angle in a square is 90 degrees, we can set up the equation:

4t + 20 + 7f + 6 + 90 + 90 = 360.

Given that f is not relevant to finding t, and since two angles are already 90 degrees each, this simplifies to:

4t + 20 + 180 = 360.

Subtracting 200 from both sides gives:

4t = 160.

Dividing both sides by 4 gives t = 40. However, this value of t is not listed in the options provided, which suggests there might have been an error either in the question or the provided choices. If we consider only the provided options, none of the answers a) 12, b) 17.5, c) 90, d) 20 are correct.

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