Angle X and Angle Y are supplementary angles. Angle x is sixteen degrees more than three times the size of Angle Y. What are the measures of Angle X and Angle Y?

Step-by-step explanation:

If angles X and Y are supplementary

X+Y=90

x=16+3y

16+3y+y=90

4y=90-16

4y=74

y=74/4=18.50

x=90-18.50=71.50

The measures of the angles are x=139° and y=41°

Step-by-step explanation:

Supplementary Angles

Supplementary angles add up to 180°. If x and y are two supplementary angles, then:

x + y = 180        [1]

Since angle x is 16 degrees more than 3 times the size of angle y:

x = 3y + 16        [2]

Substituting [2] into [1]:

3y + 16 + y = 180

Simplifying:

4y = 180 - 16 = 164

Dividing by 4:

y = 164/4 = 41

Substituting in [2]:

x = 3*41 + 16 = 139

The measures of the angles are x=139° and y=41°

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