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Answers
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Answer:
2,3,4,8 are in picture
Step-by-step explanation:
9) x+y = 180°.----------1
x:y=5:4.
x/y = 5/4
x=5/4( y). ------------2
substitute x value in 1
u get
5/4(y) + y =180°
take L.C.M u get
(5y+4y)/4 = 180°
9y = 180° × 4
9y = 720°
y = 80°
x = 180 - 80 = 100°
10). say angle AOD as X and Angle COD as Y
and Angle BOC as Z
then
X+Y+Z. = 180°
X+Y. = 180° - Z. ------1
X:Y = 5:2
X/Y. =. 5/2
X= 5/2 Y. --------2
SUBSTITUTE 2 IN 1
5/2Y + Y = 180° - Z
7Y/2 = 180° - 40°. SINCE Z = 40°
Y = 140 × 2 /7
Y= 40°. angle COD
X+Y =140°
X = 140 - Y
X = 140 - 40
X = 100° I.e angle AOD
11). Take x= angle AOP = 30
y= angle COP =?
z = angle COQ = ?
a = angle BOQ = 50°
COP : COQ = 2 : 3
y : z = 2 : 3
y/z. = 2/3
y. = 2/3 z. ----------1
x+y+z+a = 180°
30+ y + z + 50 = 180
80 + y + z = 180
y + z = 180 - 80
y+ z = 100 -----------2
substitute 1 in 2
( 2/3) z + z. = 100
5z/3 = 100
5z = 300
z. = 60°
y = 100 - 60
y = 40° .