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 :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.
It is: 180-interior angle = exterior 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.
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.
It is the equilateral triangle that has the largest exterior angle of 120 degrees
No :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.
No, an acute triangle can have an acute exterior angle. An exterior angle is formed by extending one side of the triangle, and its measure is equal to the sum of the two opposite interior angles. Since all interior angles of an acute triangle are less than 90 degrees, the corresponding exterior angles can also be acute, depending on which side is extended.
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.
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.
yes, it only needs one acute angle out of the three to make it an acute triangle.
An acute triangle.
Yes. In this case a triangle is called an acute triangle.
It is: 180-interior angle = exterior angle
It is: 180-interior angle = exterior angle
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.
180 minus interior angle = exterior angle
It is: 180-interior angle = exterior angle