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Oh, isn't that interesting? When we have a linear pair of angles, one angle is always supplementary to the other. So if one angle is obtuse, which means it's more than 90 degrees, then the other angle must be acute, which means it's less than 90 degrees. It's all about balancing each other out, just like adding a touch of light to a dark painting to create harmony.
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BeauIf one angle of a linear pair is obtuse, then the other angle must be acute. A linear pair consists of two adjacent angles that form a straight line, totaling 180 degrees. Since an obtuse angle measures more than 90 degrees but less than 180 degrees, the other angle in the linear pair must be acute, measuring less than 90 degrees to add up to 180 degrees.
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Can a pair of obtuse angle form linear pair?
no
How can a linear pair have one acute angle and one obtuse angle?
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 the angle forming a linear pair in the ratio of 4 6Then find the measure of obtuse angle?
Not too sure of the question but in general an obtuse angle is greater than 90 but less than 180 degrees
Is an exterior angle of a right triangle always an obtuse angle?
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.
What is the difference between a supplementary angle and a linear pair?
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°.
