In the figure14-23 MON is a straight line,If the angles a,β and γ satisfy β:α=2:1,and γ:β=3:1,then the angle β=_______.

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In the figure14-23 MON is a straight line,If the angles a,β and γ satisfy β:α=2:1,and γ:β=3:1,then the angle β=_______.
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In the figure14-23 MON is a straight line,If the angles a,β and γ satisfy β:α=2:1,and γ:β=3:1,then the angle β=_______.
In the figure14-23 MON is a straight line,If the angles a,β and γ satisfy β:α=2:1,

and γ:β=3:1,then the angle β=_______.

In the figure14-23 MON is a straight line,If the angles a,β and γ satisfy β:α=2:1,and γ:β=3:1,then the angle β=_______.

Solve the following Equations: γ+β+α=180°(1), β:α=2:1=>α=β/2 , γ:β=3:1=>γ=3β ,substitute(1),then the angle β=40°