Question 696712
Two angles are supplements when they add up to 180

Equation 1: {{{A + B = 180}}}
Equation 2: {{{A = 2B - 45}}}
-----------------------------
Substitute (2B - 45) into equation 1 for A
Equation 1: {{{A + B = 180}}}
{{{(2B - 45) + B = 180}}}
Combine like terms
{{{3B - 45 = 180}}}
Add 45 to both sides
{{{3B = 225}}}
Divide both sides by 3
{{{highlight(B = 75)}}}
Now plug 75 into equation 2 for B
Equation 2: {{{A = 2B - 45}}}
{{{A = 2*(75) - 45}}}
{{{A = 150 - 45}}}
{{{highlight_green(A = 105)}}}
The greater angle is 105 degrees