no
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.
A supplementary angle can be either adjacent or non-adjacent.A linear pair must be adjacent and is never non-adjacent.NOTE: They both add up to 180°.
no
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).
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.
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.
No, they cannot.
No, they cannot.
Every pair of supplementary angles includes one obtuse angle?
A rhombus must have a pair of opposite angles which are obtuse (and equal).
The sum of the measures of a linear (not lieir!) pair is exactly 180 degrees. Each obtuse angle is greater than 90 degrees so the sum of two must be greater than 180 degrees.
The measure of the other angle is also 60°.
Either pair can be greater..