One angle is five less than three times the size of another angle. Together they have a sum of 143 degrees. What are the sizes of each angle?

Let the size of one angle be x

so the size of another angle = 3x-5

sum of the two angles = 143 degrees

so, x + 3x - 5 = 143

or, 4x = 143+5

or, x = 149/4 = 37.25 degrees

other angle = 3*37.25-5 = 106.75 degrees

Let the another angle be x, then first angle will be 3*x-5

according to the question

x + 3*x-5 =143’

x+3*x=143+5

4*x=148

x=148/4

x=37’

another angle = x =37’

first angle = 3x-5 = 3*37-5 = 111-5 = 106’

143+ 5 = 148 not 149

Oh yes. So the answer would be 148/4 = 37 degrees and 3*37-5 = 111-5 = 106 degrees

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