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What is the measure of each exterior angle of the right triangle?

x = _°
y = _°
z = _°

X=90 degrees, Y=134 degrees, Z=136 degrees

Step-by-step explanation:

X=90 degrees. It is supplementary to the right angle or forms 180 degrees with it.

The triangle angles add up to 180 degrees.  Therefore, the angle supplementary to Y is 180-(90+44)=46.  Now, 180-46=134.  You could also use the exterior angle theorem which states that the exterior angle is equal to the sum of the two remote interior angles.  The 2 remote interior angle to y would be 90 and 44.  90+44=134=y.

Z is  supplementary to 44 because it is also 180 degrees.  Z=180-44=136 degrees.

x = 90

y = 134

z = 136

Step-by-step explanation:

The right angle measures 90 degrees.

x + 90 = 180

x = 90

z + 44 = 180

z = 136

Theorem:

The measure of an exterior angles of a triangle equals the sum of the measure of the two remote interior angles.

Using the theorem, we get

y = 90 + 44

y = 134

x = 90

y = 134

z = 136

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 ☕