Respuesta :
Answer:13 = Smaller Angle and 77 = Larger Angle
Step-by-step explanation: If the measure of the larger of the two complementary angles is 38 more than three times the measure of the smaller angle.
This tells us there are two angles.
- A larger one
- A smaller one
- We then look for which angle is being compared to the other one.
"38 more than three times the measure of the smaller angle"
- This tells us the smaller angle is the angle that being compared to thus it can be labeled as x.
- Let x = the smaller angle
To find the larger angle we must write out all the modifications. This angle is 38 more than. To represent 38 more than we can say +38 (more than indicating addition).
To represent three times the angle we can write 3x (three copies of x)
Thus...
- Let 3x+38 = the larger angle.
If both angles are complementary then they add to 90 so..
- x+3x+38=90
- We can combine like terms to get...
- 4x+38=90
- Subtract 38 and we get 4x=52 and then
- Divide by 4 on both sides nd we get x=13.
- We then can substitute x=13 in and get 13 and 77
