Question

See photo trying to figure out answer

Answer 1

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!!!*

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

Answer 2

I'll do 15 & you try to do 16

15)

A= 21 degrees

B= 125 degrees

C= 34 degrees

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