Question

Find the measure of the angle which is 10^0 less than four times its supplement. ​

Answer 1

Answer:

143.8

Step-by-step explanation:

let the required angle be x  and its supplement be y

where

x =  10^0 less than four times of y

x = 4y-1

x+ 1 = 4y

(x+1)/4 = y  ................(1)

ATP,

x + y = 180

x + (x+1)/4 = 180  .........................using(1)

(5x+1)/4 = 180

5x + 1 = 720

5x = 720-1 = 719

x = 719/5 = 143.8

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