pls answer class 8 ch 3
Answers
Answer:
1. 135
2. 110
3. 100
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Step-by-step explanation:
I. let adjacent angle of 110° be y , 45°be z and 70° be a ,x be b
so, 110°+y= 180°
y= 70°
similarly, 45°+z= 180°
z= 135°
and , 70°+a =180°
a=110°
so, by angle sum property of quadrilateral
y+z+a+b =360°
70°+135°+110°+b=360°
315°+b= 360°
b=45°
now , b+ x=180°
45°+x=180°
x=135°
ii. let adjacent angle of 120° be a , 130° be b and x be c
so,
120°+a = 180°
a= 60°
similarly, 130°+b=180°
b= 50°
by angle sum property or triangle
a+b+c =180°
60°+50°+c=180°
110°+c=180°
c=70°
now ,
c+x=180°
70°+x=180°
x=110°
iii. let adjacent angle of 30° be a, 50°be b ,110° be c and 70° be d and adjacent angle of x be g
so ,
30°+a =180°
a=150°
50°+b= 180°
b=130°
110°+c=180°
c=70°
70°+d=180°
d=110°
by angle sum property of quadrilateral
a+b+c+d+g= 360°
150°+130°+70°+110°+z =540°
460°+z = 540°
z=80°
so, 80°+x = 180°
x=100°