Angle rio and angle rie are supplementary one angle measures three times the other angle what is the complement of the smaller angle

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

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step-by-step explanation: