Question

find the value of x y and z in the following figures .

Answer 1

by linear equation,
84°+ Z =180°
Z=180°-84°
Z=96°


We know sum of angle of triangle is 180°,
20°+y+96°=180
y=64°


again,
58°+84°+x=180°
142°+x=180°
x=180°-142°
x=38°..


hence,
x=38°
y=64°
z=96°.....

Answer 2

ang z=180-84 (linear pair)
ang z=96
ang y+20+96=180(ang sum property of triangle)
ang y+116=180
ang y=180-116
ang y=64
58+84+x=180(ang sum property of triangle)
angX=180-142
ang x=38

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