Respuesta :
3° and 177°
supplementary angles sum to 180°
let x be an angle then the other angle is 59x
x + 59x = 180
60x = 180 ( divide both sides by 60 )
x = [tex]\frac{180}{60}[/tex] = 3
the angles are 3° and (59 × 3 )= 177°
The measure of each angle 3 and 177.
What is supplementary angle?
Two angles are called supplementary when their measures add up to 180 degrees.
Given that The measure of an angle is fifty-nine times the measure of a supplementary angle.
Let the first angle be 'x'
second angle = 59x
Now, x + 59x =180
60 x = 180
x = 180/60
x = 3
Thus, first angle =x= 3
second angle =59 x
= 59 * 3 = 177
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