M∠POQ = 19, m∠QOR = 31, and m∠ROS = 15, what is m∠POS

Answers

Answer 1
Answer:

By the angle addition postulate and substitution, the m∠POS would be - 65⁰

Angle Addition Postulate is the measure of the larger angle is the sum of the measures of the two smaller angles.

Substitution postulate states that a quantity may be substituted for its equal in any expression.

Then substitute the angle  measurements into the resulting equation to find m∠POS

m∠POQ + m∠QOR = m∠POR (by angle addition)

m∠POR + m∠ROS = m∠POS (by substitution)

Solution:

m∠POS = m∠POQ + m∠QOR + m∠ROS

= 19° + 31° + 15°

= 65°

Thus, the m∠POS would be - 65° by the angle addition postulate and substitution postulate.

Learn more about angle addition postulate:

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Answer 2
Answer:

Answer:

65

Explanation:

Add 19, 31, 15 =65

65=POS


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Know more about Refugees here:

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