Question 620937
Let the measure (in degrees) of the smaller angle be x.
The measure of the larger angle is 3x+4 (4 degrees more than 3 times x).
 
a) If the angles are complements of each other, their measures add up to 90 degrees, so
{{{x+(3x+4)=90}}} --> {{{4x+4=90}}} --> {{{4x=90-4}}} --> {{{4x=86}}} --> {{{x=86/4}}} --> {{{highlight(x=21.5)}}} is the measure of the small angle and {{{90-21.5=highlight(67.5)}}} is the measure of the larger angle (in degrees).
 
b) If the angles are supplements of each other, their measures add up to 180 degrees, so
{{{x+(3x+4)=180}}} --> {{{4x+4=180}}} --> {{{4x=180-4}}} --> {{{4x=176}}} --> {{{x=176/4}}} --> {{{highlight(x=44)}}} is the measure of the small angle and {{{180-44=highlight(136)}}} is the measure of the larger angle (in degrees).