Find the values of the unknowns ‘ x’ and ‘y’ in the following diagrams
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Answer:
1=y=60,x=70
2.y=50,x=80
3.y=70,x=120
4.y=110,x=60
5.y=90,x=45
6.x=60
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(I). y +120°=180
y=180°-120°
y=60°
to find x
120° +50°+x=180°
170°+x=180°
x=180°-170°
x=10°
(ii) .80°=x (because of opposite side)
to find y
80°+50°+y=180°
130°+y=180°
y=180°-130°
y=50°
(iii) . 50°+60°+y=180°
110°+y=180°
y=180°-110°
y=70°
to find x
70°+x=180°(linear pair)
x=180°-70°
x=110°
(iv) .x=60°(opposite side)
to find y
60°+30°+y=180°
90°+y=180°
y=180°-90°
y=90°
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