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Can an acute-angled triangle have an acute exterior angle?
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.
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
Can an acute-angled triangle have an acute exterior angle?
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.
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.
In A Triangle The Smallest Angle Is?
In a triangle the smallest angle is always opposite the shortest side. It will always be an acute angle.
What is the measure of each exterior angle of a triangle?
Any exterior angle of a triangle always equals the sum of the two interior opposite angles.
Can a triangle be obtuse and acute?
No, because if there is on obtuse angle the triangle will always be obtuse.
What is a real life example of an acute angle?
A right angle triangle always has 2 acute angles within it.
Can a triangle with a obtuse angle have two acute angles?
Yes. A triangle can have only one obtuse angle. The other two angles will always be acute.
Is exterior angle of a triangle 90 degrees?
A right triangle has one exterior angle that's 90 degrees. No other kind of triangle has. All three of the triangle's exterior angles always add up to 360 degrees.
Can a triangle be both acute and obtuse?
No, because if there is on obtuse angle the triangle will always be obtuse.
Is the hypotenuse always opposite an acute angle?
The hypotenuse is NEVER opposite an acute angle. It's always the side of the right triangle that's opposite the right angle.
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.
