Two angles are complementary three times the measure of one of the angles is 10° more than the measure of the other angle. find

Question

3 years ago

7

the difference between the measure of the larger angle in the smaller angle

2 answers:

Mumz [18] · Answer 1 · 2022-08-16T03:00:48+03:00

Mumz [18]3 years ago

8 0

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

NikAS [45] · Answer 2 · 2022-08-16T05:22:46+03:00

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.