Question

find the measure of an angle which is four times of its supplement​

Answer 1

Answer:

144 degrees

Step-by-step explanation

the angles are supplementary

let the 2 angles be x and y

thus,

x+y=180 degrees [1]

[supplementary angles adds to form 180 degrees]

let the greater angle be x and it's supplement be y

thus according to the given condition,

x=4y     [2]

sub. the value of x in equation [1] we get,

x+y=180

thus,

4y+y=180 [from 2]

5y=180

y=180/5

y=36

sub. the value of y we get

x+y=180

x+36=180  [y=36]

x=180-36

x=144

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