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Chapter 2: Q4. (page 37)

Complete. You may find that drawing a diagram will help you.

If鈭�POQis a straight angle and Ris any point not on PQ鈫�, thenm鈭�___?___+m鈭�___?___= ___?___.

Short Answer

Expert verified

If 鈭�POQ is a straight angle and R is any point not on PQ鈫�, then m鈭�POR+m鈭�ROQ=1800.

Step by step solution

01

Step 1. State the concept used.

  • The straight angle measures 1800.
  • Angle addition postulate: The Angle addition postulate states that if two angles are placed side by side, then the value of the resulting angle is equal to the sum of the original angles
  • The angle formed by two side by side angles is the sum of their measures.
02

Step 2. Draw the diagram.

Draw the diagram with the point R not on PQ鈫�and a straight angle 鈭�POQ.

03

Step 3. State the conclusion.

Using angle addition postulate,

m鈭�POR+m鈭�ROQ=m鈭�POQ

And since,鈭�POQis a straight angle therefore, the measure of the angle will be 1800.

Hence, localid="1648791697962" m鈭�POR+m鈭�ROQ=1800.

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