Two angles are complementary three times the measure of one of the angles is 10° more than the measure of the other angle. find the difference between the measure of the larger angle in the smaller angle
2 answers:
Answer:
The difference is 40,
Step-by-step explanation:
Complementary angles , x+y =90
so we know angle 1, we call it 3x and angle 2 we call it y= 3x+10
so 3x +10= 90-x
4x=100
x=25
angle 1= 3(25) - 10
y= 65
65-25= 40
Answer:
40°
Step-by-step explanation:
Let x represent one of the angles, and y represent the other one. Then we have ...
x + y = 90
3x = y +10
Substituting for y in the first equation, we have ...
x + (3x -10) = 90
4x = 100
x = 25
y = 3(25) -10 = 65
The difference between the angles is ...
y -x = 65 -25 = 40 . . . . degrees
The difference between the angle measures is 40 degrees .
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