Question 641700


Supplementary angles add up to {{{180}}}°.

{{{alpha+beta=180}}}..........1
given:

{{{alpha-beta=44}}}...........2

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{{{alpha+beta=180}}}..........1...solve for {{{alpha}}}

{{{alpha=180-beta}}}.......plug it in 2
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{{{180-beta-beta=44}}}...........2

{{{180-2beta=44}}}

{{{180-44=2beta}}}

{{{136=2beta}}}

{{{136/2=beta}}}

{{{highlight(68=beta)}}}....now find {{{alpha}}}

{{{alpha=180-beta}}}

{{{alpha=180-68}}}

{{{highlight(alpha=112)}}}