Question 651077
<{{{ABD}}} and < {{{BDE}}} are {{{supplementary}}}; so, they add up to {{{180}}} degrees

if {{{m}}} < {{{ABD =(12x-12)}}}degrees, {{{m}}} < {{{BDE = (3x+48)}}} degrees, then


{{{(12x-12)+(3x+48)=180}}}... now you can first find {{{x}}}

{{{12x-12+3x+48=180}}}

{{{15x+36=180}}}

{{{15x=180-36}}}

{{{15x=144}}}

{{{x=144/15}}}

{{{x=9.6}}}

now you can find {{x}}} {{{m }}}<{{{ABD}}} and {{{m}}} < {{{BDE}}}

m< {{{ABD =(12x-12)}}}degrees, 

m< {{{ABD =(12*9.6-12)}}}degrees

m< {{{ABD =(115.2-12)}}}degrees

m< {{{highlight(ABD =103.2)}}}degrees



m< {{{BDE = (3x+48)}}}

m< {{{BDE = (3*9.6+48)}}}

m< {{{BDE = (28.8+48)}}}

m< {{{highlight(BDE = 76.8)}}}degrees