Please Show Work. Angles A and B create a 120° angle. ∠A=3x+5 and ∠B=2x+15. Find the measures of both angles.

Answers:

x = 20

angle A = 65 degrees

angle B = 55 degrees

Work Shown:

A+B = 120

(3x+5) + (2x+15) = 120

5x+20 = 120

5x = 120-20

5x = 100

x = 100/5

x = 20

Use this to find both angles

angle A = 3x+5 = 3(20)+5 = 65 degrees

angle B = 2x+15 = 2(20)+15 = 55 degrees

Then note how A+B = 65+55 = 120 to help confirm our answers.

Step-by-step explanation:

We can treat each of these angle equations as if they are the real angle measures.

We know these angles add up to 120°, so we can create an addition statement:

We can then solve for x.

Now that we know x = 20, we can substitute it into both equations for each angles and find it.

∠A =

∠B =

We can test that this is right because 65+55 = 120.

Hope this helped!

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕