Question 195992
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We know supplementary angles add to 180 deg.


So, <font color=blue>A + B =180</font>, Working Eqn.


*note, <font color=blue>B</font> is a supplement of <font color=blue>A</font> and as per condition:


<font color=blue>B = 2A - 30 deg</font> (twice the angle less 30 deg)



Substitute condition to our Working Eqn.
{{{A+highlight(2A-30)=180}}}
{{{3A=180+30=210}}} ---> {{{cross(3)A/cross(3)=cross(210)70/cross(3)}}}
{{{red(A=70^o)}}}, Answer


To check supplement angle ( via working Eqn)
{{{70+B=180}}}
{{{B=180-70=red(110^o)}}}


Or via condition:
{{{B=2(A)-30=2*70-30=140-30}}}
{{{red(B=110^o)}}}


Thank you,
Jojo</font>