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If m∠QOS=51​, m∠POR=59​, and m∠POQ=25​, what is m∠​ROS?

Sagot :

Answer:

 ∠ROS = 19

Step-by-step explanation:

The angle sum theorem is applicable.

 ∠POQ + ∠QOR = ∠POR

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

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 ∠QOR +∠ROS = ∠QOS

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

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

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

 ∠ROS = 19

Step-by-step explanation:

Pop es igual a 95 y ros es 55