take an angle pqr as a straight angle .Draw Ray OR. Measure angle POR and angle QOR .Find the sum of angle POR and angle QOR
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POR=3x and ∠QOR=2x+10 [ Given ]
POQ is a line.
∴ ∠POR+∠QOR=180
o
[ Linear pair ]
⇒ 3x+2x+10
o
=180
o
⇒ 5x=170
o
⇒ x=
5
170
o
⇒ x=34
o
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