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Find the value of x. m∠PQT and m∠TQR. 12. Find the value of x. m∠PQT and m∠SQR. 13. If m∠ACB = 2x + 5,...

11. Find the value of x. m∠PQT and m∠TQR.
12. Find the value of x. m∠PQT and m∠SQR.
13. If m∠ACB = 2x + 5, m∠BCD = 3x - 15, find the value of x so that ∠BCD is a right angle.

Answer

  1. To find the value of x, m∠PQT, and m∠TQR, use the fact that the sum of angles in a straight line is 180°. Without specific angle measures, x cannot be determined.

  2. To find the value of x, m∠PQT, and m∠SQR, use the fact that the sum of angles in a straight line is 180°. Without specific angle measures, x cannot be determined.

  3. If m∠ACB = 2x + 5 and m∠BCD = 3x - 15, and ∠BCD is a right angle (90°), set 3x - 15 = 90 and solve for x:

    3x - 15 = 90
    3x = 105
    x = 35

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