Answer:
The complement of the smaller angle is 45 degrees
Step-by-step explanation:
Let
x -----> the measure of one angle (m∠RIO)
y -----> the measure of the other angle (m∠RIE)
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
so
x+y=180 -----> equation A
x=3y -----> equation B
substitute equation B in equation A and solve for y
3y+y=180
4y=180
y=45°
Find the value of x
x=3(45)=135°
therefore
m∠RIO=135°
m∠RIE=45° ------> smaller angle
Remember that
If two angles are complementary, then their sum is equal to 90 degrees
therefore
The complement of the smaller angle (m∠RIE=45°) is 45 degrees
