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Can an angle be both obtuse and isosceles true or false?

Updated: 8/21/2019
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7y ago

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False

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Q: Can an angle be both obtuse and isosceles true or false?
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Has an isosceles triangle have an obtuse angle?

Not necessarily. The two equal angles in an isosceles triangle must both be acute angles. If they were right angles or obtuse angles then a triangle could not be formed. If the two equal angles are less than 45° each then the third angle is an obtuse angle. If they are both 45° then the third angle is a right angle and if they are both greater than 45° then the third angle is an acute angle.


Is an isosceles triangle an example of an acute angle?

For starters, here are the basic rules of triangles.A right angle is 90 degrees.An acute angle is less than 90 degrees.An obtuse angle is more than 90 degrees.A triangle's angles always add up to 180 degrees.An isosceles triangle has two sides that are the exact same length and thus two same angles.Now, an isosceles triangle can have all acute angles. For example, its angles can measure in degrees at 80, 50, and 50. However, isosceles triangles can also have an obtuseangle.For example, consider a triangle with the following angle degree measures: 96, 42, 42.With the rules above in mind, the triangle above is an isosceles triangle because two angles are the same and they both are acute. At the same time, the remaining angle is greater than 90 degrees and so is obtuse. Thus, a single triangle can have both acute and obtuse angles.Similarly, you can have a right triangle that is also isosceles, with the angle degree measurements at 90, 45, and 45.


Can a triangle be both acute and obtuse?

No, because if there is on obtuse angle the triangle will always be obtuse.


Is it true that an isosceles triangle can be acute or obtuse?

Yes, it is true that an isosceles triangle can be acute or obtuse. As long as a triangle has two equal angles and two equal sides, it is isosceles. That situation can occur in both acute (all angles less than 900) and obtuse (one angle more than 900) triangles. Examples are a triangle with the angles being 75-75-30 degrees (acute) and one having angles of 120-30-30 (obtuse). Of course the sides of the angles that are equal would also be equal, so both examples are of isosceles triangles.


Can Isosceles triangles be acute or obtuse?

Acute.


What is the supplement of an obtuse angle?

An obtuse angle is one over 90 degrees. If you are looking for the supplement it means that both angles have to equal 180 degrees. So the supplement of an obtuse angle would be an acute angle.


Is it possible for an angle to be both obtuse and scalene?

Having three unequal sides of a triangle is called scalene an angle can be acute angle (<900), right angle (900) and obtuse angle(>900)


Can a triangle be both isosceles and obtuse?

these are two different terms, isosceles means a triangle with two sides the same length, and hence two angles the same length. obtuse means there is at least one angle that is greater than 90 degrees. since two of the angle have to be the same, you know that only one such angle can exist, so is with any triangle anyway. just try to imagine a triangle with two sides the same length with one angle larger than 90 degrees. yup it's possible


How many obtuse angles does an isosceles trapezoid have?

An isosceles trapezoid has two equal obtuse angles and two equal acute angles that all add up to 360 degrees


Why can't an obtuse triangle not have a right angle?

Because an obtuse angle is greater than 90 degrees by definition and a right angle is 90 degrees by definition, so an obtuse triangle would need to have both a right angle and an obtuse angle, which would exceed the number of degrees than a triangle can have, which is 180 degrees.


When you use the protractor do you use the top numbers or the bottom numbers?

You use both. An acute angle [ /_ or _\] is less than 90 degrees - directly on top. An obtuse angle is [ \_ or _/ ] is greater than 90 degrees. You use both. An acute angle [ /_ or _\] is less than 90 degrees - directly on top. An obtuse angle is [ \_ or _/ ] is greater than 90 degrees. You use both. An acute angle [ /_ or _\] is less than 90 degrees - directly on top. An obtuse angle is [ \_ or _/ ] is greater than 90 degrees. You use both. An acute angle [ /_ or _\] is less than 90 degrees - directly on top. An obtuse angle is [ \_ or _/ ] is greater than 90 degrees.


What is an angle at 120 degrees called?

Any angle greater than 90º and less than 180º is an obtuse angle.