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What else can I help you with?
If a triangle has one acute angle is the triangle necessarily acute?
No, an acute triangle must have all 3 angles under 90 degrees. A triangle can have an acute angle and still be a right triangle or an obtuse triangle.
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 two angles of a triangle are acute then the third must be?
Actually, you cannot conclude anything this way, at least not in regular geometry. For instance, in a "perfect triangle," all 3 angles are acute. In a right triangle, one is a right angle and the other two are acute. It is also possible to have an obtuse angle and two acute angles. The thing is, the 3 angles must add up to 180 degrees.
If one angle of a linear pair is obtuse than the other is?
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.
An angle that is the supplement of an acute angle must be what?
If one angle is the supplement of another, we know that their sum is 180 degrees.So let one angle be A and the supplement be B. We know the measure of A+B=180.If A is acute that means its measure is less than 90 degrees. The supplement must therefore have measure more than 90 degrees. We could say the supplement of an acute angle must be an obtuse angle. Remember obtuse angle is one that less than 180 degrees and more than 90.
If an angle is not acute straight or obtuse what kind of angle is it?
Right angle. An acute angle is less than 90°. An obtuse angle is more than 90°. If it isn't less than or greater than, it must be equal to. Of course a straight angle is more or less an extreme case of an obtuse angle.
Is the supplement of an acute angle acute?
No, it must be obtuse.
Is it possible to draw a triangle with an acute angle and an obtuse angle?
Yes. Every triangle with an obtuse angle must have two acute angles.
The supplement of an acute angle must be an what type angle?
obtuse
Is it true that every angle of an acute angle is acute?
yes. to be and acute angle, all angles must be acute. Obtuse angles only one angle has to be obtuse. Right angles only need one too. Acute has to have every angle to be acute, if one angle is obtuse or right, it's automatically no an acute Angle anymore.
How do you draw an obtuse scalene triangle?
One angle must be an obtuse angle and the other two angles must be acute angles
If two angles of a triangle are acute must the the third angle always be acute?
No. In fact, if one of the angles is not acute (a right angle or obtuse), the other two must be acute.
Is it possible for some triangles to have none exterior angle obtuse angle?
Yes, a Triangle can have 3 obtuse EXTERIOR angles of measure 120° ONLY in the case of an equilateral Triangle. OTHERWISE, a Triangle always has 2 obtuse Exterior angles and 1 acute Exterior angle.
What are the properties of obtuse angled triangle?
It has one obtuse angle. It must, therefore, have two acute angles.
Can a triangle have 1 obtuse angle and 2 acute angles?
A triangle can have one obtuse angle and two acute angles. The sum of all three angles must equal 180 degrees.
Explain Why an angle that is supplementary to an acute angle must be an obtuse angle?
If x is acute, then x < 90 and -x > -90. Adding 180 to both sides, 180-x > 90, i.e. the supplement of x is obtuse.
A triangle with one obtuse angle must also have two acute angles?
True
