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No. An interior angle plus its exterior partner add up to 180 degrees.
In order for an exterior angle to be acute, its interior partner would
have to be obtuse, which doesn't happen in an acute triangle.
No, an acute-angled triangle cannot have an acute exterior angle. By definition, an exterior angle of a triangle is formed by extending one of the sides of the triangle. In an acute-angled triangle, all interior angles are less than 90 degrees, so extending any side will create an obtuse exterior angle.
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Is an exterior angle of a triangle always acute?
No :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.
What is an exterior angle of a triangle?
It is: 180-interior angle = exterior angle
Can the exterior angle of triangle be straight angle?
When any side of triangle is extended outwards then exterior angle is formed. Sum of this exterior angle and adjacent interior angle = 180o. If exterior angle = 180o(straight angle) then interior adjacent angle is 0o which is not possible. So exterior angle can't be straight angle.
What is the Exterior Angle Theorem for a Triangle?
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.
Which of these two regular polygons has the larger exterior angle a triangle or a heptagon?
It is the equilateral triangle that has the largest exterior angle of 120 degrees
Is an exterior angle of a triangle always acute?
No :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.
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.
Are the exterior angles of a scalene triangle always obtuse?
No, they are not always obtuse, because a scalene triangle can also sometimes be an obtuse triangle (meaning that one interior angle is obtuse), making one exterior angle acute. Scalene triangles also can be a right triangles (meaning that one interior angle is a right angle), which would make an exterior angle a right angle. Then also they can be acute triangles, in this case all 3 exterior angles are obtuse.
If a triangle has one acute angle is the triangle acute?
yes, it only needs one acute angle out of the three to make it an acute triangle.
What is a triangle with all acute angle?
An acute triangle.
What is an exterior angle of a triangle?
It is: 180-interior angle = exterior angle
What is a Exterior angle of a triangle?
It is: 180-interior angle = exterior angle
If one angle in a triangle is acute can the other two angle also be acute?
Yes. In this case a triangle is called an acute triangle.
Can you sketch an exterior angle of the triangle that is greater than its adjacent interior angle?
Yes, but not on this site. All triangles must have at least two acute angles. Take one of these and the exterior angle associated with it will meet your requirements.
What is an exterior angle for a triangle?
180 minus interior angle = exterior angle
How do you work out exterior angle for a triangle?
It is: 180-interior angle = exterior angle
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.
