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Step-by-step explanation:
x = 30
y = 30
z = 120
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Answer:
2x +90+x= 180. ( sum of angles on a straight line i.e.AB)
=> 3x + 90 = 180
=> 3x = 180-90
=> 3x = 90
=> x = 30°
and 2x will be 60 °
now ,
we can find the value of y by the same method,
90+x+y=180
=> 90+30+y=180°
=> 120 + y = 180
=> y = 180- 120
=> y=60°
Alternatively: 2x = y ( vertically opposite angles)
then ,
2x+90+x+y+z=360(sum of angles around a point = 360°)
60+90+30+60+z=360
=> 240 + z = 360
=> z = 360-240
=> z = 120°
Answer. Therefore x is 30°, y is 60° and z is 120°.
hope it helps.....
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