Question 666082
Supplementary angles sum to 180.
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Establish variables
x = smaller angle
y = larger angle
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Given
x = {{{1/2}}}y
x+y=180
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Substitute x into the second equation and solve for y, the larger angle
{{{1/2}}}y + y = 180
Multiply both sides by 2 to be rid of the fraction
y + 2y = 360
3y = 360
{{{highlight_green(y=120)}}}
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Check  {{{cartoon(
120 + (1/2)(120),
120 + 60,
180)}}}
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