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What is relationship between exterior angles and opposite interior angles of a triangle?
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
So if a triangle had points A, B and C:
The exterior angle at B would equal the sum of interior angles at A and C.
Similarly, the exterior angle at C would equal the sum of interior angles at A and B
And the the exterior angle at A would equal the sum of interior angles at C and B.
What else can I help you with?
What is the relationship between exterior and opposite interior angles?
In a triangle, each exterior angle is equal to the sum of the two opposite interior angles.
What type of angles do the pairs of exterior angles of a triangle form?
The pairs of exterior angles of a triangle form adjacent angles with the interior angles of the triangle. Specifically, each exterior angle is supplementary to the interior angle at its corresponding vertex, meaning they add up to 180 degrees. Additionally, the exterior angles of a triangle are equal to the sum of the two opposite interior angles, establishing a relationship among them.
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.
An exterior angle of a triangle is equal to the adjacent interior angle?
No. It is equal to the sum of the opposite interior angles.
The measure of an exterior angle of a triangle is equal to the sum of the measures of its?
two opposite interior angles.
What is the relationship between exterior and opposite interior angles?
In a triangle, each exterior angle is equal to the sum of the two opposite interior angles.
The measure of an exterior angle of a triangle is equal to the sum of?
any other exterior angle of the triangle * * * * * No. The sum of the two opposite interior angles.
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.
An exterior angle of a triangle is equal to the adjacent interior angle?
No. It is equal to the sum of the opposite interior angles.
The measure of an exterior angle of a triangle is equal to the sum of the measures of its?
two opposite interior angles.
What true statement about an exterior angle of a triangle?
An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. This relationship is a direct consequence of the Triangle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees. Consequently, the exterior angle provides valuable information about the interior angles of the triangle. Additionally, each exterior angle is formed by extending one side of the triangle, thus creating a linear pair with the adjacent interior angle.
Which is the best definition of an exterior angle of a triangle?
an angle that forms a linear pair with one of the interior angles of the trinagle.(Apex)
Can an acute triangle never have an acute exterior angle?
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.
What is the relationship between interior and exterior angles in triangles?
An interior angle of a triangle is the angle between two edges, measured inside the triangle. An exterior angle is formed by extending one of the edges outside the triangle, and measuring between that extension and the adjacent original side of the triangle. The sum of the interior angle and exterior angle at any given corner is always 1800 (which is Pi radians).
What is the relationship between the shortest side of a triangle and the measure of the angle opposite it?
The shortest side of a triangle is opposite to the smallest interior angle.
Which polygon has the larger exterior angle triangle or heptagon?
Interior Angles of a Triangle: 60 Exterior Angles of a Triangle: 120 Interior Angles of a Heptagon 128 (approx) Exterior Angles of A Heptagon 52 (approx) Answer: Triangle
What is an exterior angle of a triangle?
It is: 180-interior angle = exterior angle
