Question
In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of . Then x° + y° is
- 90°
- < 90°
- 180°
- > 180°
Hint:
sum of all exterior angles of a triangle = 360 degrees. sum of 2 obtuse angles is > 180 degrees.
The correct answer is: > 180°
>180
From the given diagram, we can see that angles x and y are obtuse angles, i.e., both are > 90 degree.
Therefore, their sum, x+ y > 90 + 90 or x + y > 180 degrees.
if one of the angles were acute then we'd not have been able to conclude whether the sum of the angles were greater than or less than 180 degrees.
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