If m∠ QOS=58, m∠ POR=61, and m∠ POQ=22 what is m∠ ROS

  ∠ROS = 19

Step-by-step explanation:

The angle sum theorem is applicable.

  ∠POQ + ∠QOR = ∠POR

  ∠QOR = ∠POR - ∠POQ . . . . . subtract ∠POQ

__

  ∠QOR +∠ROS = ∠QOS

  ∠ROS = ∠QOS - ∠QOR . . . . . subtract ∠QOR

  ∠ROS = ∠QOS - (∠POR - ∠POQ) . . . . . substitute for ∠QOR

  ∠ROS = ∠QOS - ∠POR + ∠POQ = 58 -61 +22

  ∠ROS = 19

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

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step-by-step explanation: