acute
The two angles of a linear pair must add to 180 degrees. So if one is less than 90 degrees (acute) the other must be more than 90 degrees (obtuse).
Not too sure of the question but in general an obtuse angle is greater than 90 but less than 180 degrees
If exterior angle makes linear pair with the right angle then exterior angle is 90o.If exterior angle makes linear pair with any of the other two angles then it is greater than 90o i.e. obtuse angle.Consider a right triangle ABC, right angled at B.We have: ∠B = 90o and ∠A + ∠C = 90o.Let us consider exterior angle be x.If exterior angle is supplement to B(i.e. ∠B + x = 180o or linear pair) then exterior angle(x) = ∠A + ∠C = 90o.If exterior angle is supplement to any of the other two angles then exterior angle is greater than 90o.Let us say x is supplement to ∠A then x = ∠B + ∠C = 90o + ∠C.And 90o + ∠C is greater than 90o so, x is obtuse angle.
1. Where the angles in a linear pair are supplementry, and if parallel lines are cut by a transversal, then the interior angles are congruent, and if two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel. That's what makes up a linear pair postulate anyway. 2. If two adjacent angle's unshared sides form a straight angle, then they are a linear pair. 3.If two angles form a linear pair,then they are supplementary.
acute
If two angles form a linear pair, you know their measures add up to 180 degrees (since going around a circle halfway is 180 degrees). So the measure of the obtuse angle is 180 degrees minus the other angle in the pair.
No, they cannot.
No, they cannot.
The two angles of a linear pair must add to 180 degrees. So if one is less than 90 degrees (acute) the other must be more than 90 degrees (obtuse).
Not too sure of the question but in general an obtuse angle is greater than 90 but less than 180 degrees
A linear pair would be two angles that form a straight angle of 180 degrees.
If exterior angle makes linear pair with the right angle then exterior angle is 90o.If exterior angle makes linear pair with any of the other two angles then it is greater than 90o i.e. obtuse angle.Consider a right triangle ABC, right angled at B.We have: ∠B = 90o and ∠A + ∠C = 90o.Let us consider exterior angle be x.If exterior angle is supplement to B(i.e. ∠B + x = 180o or linear pair) then exterior angle(x) = ∠A + ∠C = 90o.If exterior angle is supplement to any of the other two angles then exterior angle is greater than 90o.Let us say x is supplement to ∠A then x = ∠B + ∠C = 90o + ∠C.And 90o + ∠C is greater than 90o so, x is obtuse angle.
true
180 degrees a straight angle.
Every pair of supplementary angles includes one obtuse angle?
1. Where the angles in a linear pair are supplementry, and if parallel lines are cut by a transversal, then the interior angles are congruent, and if two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel. That's what makes up a linear pair postulate anyway. 2. If two adjacent angle's unshared sides form a straight angle, then they are a linear pair. 3.If two angles form a linear pair,then they are supplementary.