Answers:
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Step-by-step explanation:
Let x and y be the two angles such that x < y. Also, we'll make both values to be positive numbers.
Since one angle is 1/3 of the other angle, this means
smaller angle = (1/3)*(larger angle)
x = (1/3)y
3x = y
y = 3x
The two angles add to 180 degrees since they are a linear pair. A linear pair of angles always forms a straight line.
x+y = 180
x+3x = 180
4x = 180
x = 180/4
x = 45
Use that x value to find y.
y = 3x
y = 3*45
y = 135
The two angles are x = 45 and y = 135
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Check:
x+y = 45+135 = 180
so the answer is confirmed.