Q:

angle RIO and angle RIE are supplementary one angle measures three times the other angle what is the complement of the smaller angle

Accepted Solution

A:
Answer:The complement of the smaller angle is 45 degreesStep-by-step explanation:Letx -----> the measure of one angle (m∠RIO)y -----> the measure of the other angle (m∠RIE)we know thatIf two angles are supplementary, then their sum is equal to 180 degreessox+y=180 -----> equation Ax=3y -----> equation Bsubstitute equation B in equation A and solve for y3y+y=1804y=180y=45°Find the value of xx=3(45)=135°thereforem∠RIO=135°m∠RIE=45° ------> smaller angleRemember thatIf two angles are complementary, then their sum is equal to 90 degreesthereforeThe complement of the smaller angle (m∠RIE=45°) is 45 degrees