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Answers
Here is your answer user.
6answer).
Let, produce ray OQ backward T.
angle TOP+angle POQ=180°———(eq.1)
(linear pair)
angle TOS+angle SOR+ROQ=180°———(eq.2)(linear pair)
add eq.(1)and(2)
angle TOP+angle POQ+angle TOS+angle SOR+angle ROQ=360°
therefore, POQ+angle POS+angle SOR+angle QOR=360°
7answer).
angle APQ=angle RQP(alternate angle)
angle RQP=50°
x=50°
angle PRD+angle PRQ=180°(linear pair)
127°+angle PRQ=180°
angle PRQ=180°-127°
angle PRQ=163°
angle QPR+angle PQR+angle RQP=180°
(property of triangle)
angle QPR+angle PQR+angle RQP=180°
angle QPR+113°=180°
angle QPR=67°
y=67°
8answer).
suppose y=3a
z=7a
angle NOC+angle OZF=180°(linear pair)
3a+7a=180°
10a=180°
a=180°\10
a=18°
y=3a=3(18°)=54°
z=7a=7(18°)=126°
angle X=angle Y(alternate angle)
angle X=126°
9answer).
angle XPB=angle APQ(alternate angle)
angle APQ=75°
angle APA=angle PQD(alternate angle)
angle PQD=75°
angle PQD=angle CQY(vertically opposite angle)
hope it is helpful...
please mark as brainliest....
angle CQY=75°