Respuesta :

s689012

Answer:

15) m<a = 21

     m<b = 125

     m<c = 34

16) m<j = 48

     m<k = 57

     m<l = 75

*make sure you write the degree signs after the angles!!!*

Step-by-step explanation:

15) m<a = x - 13

     m<b = 4x - 11

     m<c = x

x - 13 + 4x - 11 + x = 180

2x + 4x -13 - 11 = 180

6x - 24 = 180

    + 24   +24

6x = 204

x = 34

m<a = x - 13

       = (34) - 13

       = 21

m<b = 4x - 11

       = 4(34) - 11

       = 136 - 11

       = 125

m<c = x

       = 34

16) m<j = x

    m<k = x + 9

    m<l = 2x - 21

x + x + 9 + 2x - 21 = 180

4x - 12 = 180

    +12    +12

4x = 192

x = 48

m< j = x

       = 48

m<k = x + 9

       = (48) + 9

       = 57

m<l = 2x - 21

      = 2(48) - 21

      = 96 - 21

      = 75

thebecks

Answer:

I'll do 15 & you try to do 16

15)

A= 21 degrees

B= 125 degrees

C= 34 degrees

Step-by-step explanation:

15)

Knowns:

A=C-13     C=A+13

B=4C-11    C=(B+11)/4

A+B+C=180 degrees   (because it's a triangle)

C=C so substitute A+13 & (B+11)/4

A+13=(B+11)/4

reduce for B

4A+52=B+11

B=4A+41

since A+B+C=180 degrees, substitute values for B & C:

A+(4A+41)+(A+13)=180

reduce

6A+54=180

6A=126

A=21 degrees

substitute A to solve B & C

B=4(21)+41=125 degrees

C=(21)+13=34 degrees

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