Kindly Answer No. 1st diagram:

(ii) In the adjoining figure, find x+y+z+w. 


Dear student

Clearly, z+70°=180°   Linear Pairz=180°-70°z=110°Also, y+80°=180°      Linear Pairy=180°-80°y=100°and x+130°=180°     Linear Pairx=180°-130°x=50°Now consider quadrilateral ABCD,by angle sum property we have,ABC+BCD+CDA+DAB=360°ABC+130°+80°+70°=360°ABC+280°=360°ABC=80°Now, ABC+w=180°       Linear Pair80°+w=180°w=100°So, x+y+z+w=50°+100°+110°+100°=360°
Regards

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SHOW THE DIAGRAM PROPERLY.
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w=70* [corresponding angles are equal.]
70*+a=180* [adjacent angles are supplementary]
a=180-70=110*
a=110*
70*+z=180*[straight line]
z=180-70=110*
z=110*
130*+x=180*[straight line]
x=180-130=50*
x=50*
80*+y=180*[straight line]
y=180-80=100*
y=100*
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