SOLUTION: Find m < T if m < T is 20 more than four times its supplement. Please show the steps on how you solved this.

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Question 789235: Find m < T if m < T is 20 more than four times its supplement.
Please show the steps on how you solved this.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

m < T if m <T is 20 more than four+times its supplement=S:
T=4S%2B20....eq.1
Supplementary angles add to 180°.
so, T%2BS=180.......eq.2...substitute T from eq.1
4S%2B20%2BS=180......solve for S
5S%2B20=180
5S+=180-20
5S+=160
S+=160%2F5
highlight%28S+=32%29
now find T
T=4S%2B20....eq.1
T=4%2A32%2B20
T=128%2B20
highlight%28T=148%29+


Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Find m < T if m < T is 20 more than four times its supplement.
Please show the steps on how you solved this.

< T's supplement: 180 - T

As given, T = 4(180 - T) + 20

T = 720 - 4T + 20

T + 4T = 740

5T = 740

m < T = 740%2F5, or highlight_green%28148%5Eo%29

You can do the check!!

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