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Remote interior angles are the two angles of a triangle that are not adjacent to the exterior angle which is drawn by extending one of the sides. So when you draw out your triangle, the remote interior angles are the two angles that are the furthest away from your exerior angle.
The remote interior angle of a triangle is an angle that is not adjacent to a particular side of a triangle. In other words, it is an angle that is formed by two sides of the triangle and lies opposite to the third side.
For example, let's consider a triangle ABC, where AB, BC, and AC are the three sides. The remote interior angle opposite to side AB would be the angle formed by sides BC and AC, and it would be denoted by ∠C. Similarly, the remote interior angle opposite to side BC would be the angle formed by sides AB and AC, and it would be denoted by ∠A. Finally, the remote interior angle opposite to side AC would be the angle formed by sides AB and BC, and it would be denoted by ∠B.
The sum of all three remote interior angles in a triangle is always equal to 180 degrees, which is known as the triangle angle sum theorem.
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Exterior angle property of a triangle?
measure of exterior angle of triangle is equal to sum of interior angles. for eg. In triangle ABC, angle C is exterior angle angle A and angle B are interior angles so, C=A+B
What is the measure of the interior angle of an equilateral triangle?
Each of the interior angles of an equilateral triangle is 120 degrees.
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.
What is the third angle of a right triangle if one of the angles measures 51.1?
The measure of the third angle in a right triangle with one interior angle measuring 51.1° is 34.9°. By definition, all triangles have interior angles that add to 180°. Thusly: Angle A + Angle B + Angle C = 180° Also by definition, a right triangle has one angle that measures 90°. Therefore 90° + Angle B + Angle C = 180° We know the measure of one of our angles, so... 90° + 55.1° + C = 180° Combine the two known angles... 145.1° + C = 180° Subtract 145.1° from both sides to solve for C 145.1° - 145.1° + C = 180° - 145.1° C = 34.9°
What are Remote interior angles?
Are two angle of a triangle that are not adjacent to the exterior angle
What is the definition for Obtuse triangle?
a triangle that contains an obtuse interior angle
Which is the definition of an exterior angle of a triangle?
an angle that forms a linear pair with one of the interior angles of the triangle.
In triangle DCF if angle ADF is the exterior angle the remote interior angles are?
angle dcf and angle dfc
The measure of an exterior angle of a triangle is what equal to the measure of either remote interior angle?
never
Is the measure of an exterior angle of a triangles is less than a remote interior angle?
That depends on what type of triangle it is but in general:- 180-interior angle = exterior angle
The measure of an exterior angle of a triangle is equal to the measure of either remote interior angle?
No. The sum of the other two interior angles.
The angles of a triangle that are not adjacent to a given exterior angle?
Remote interior angles
What then name of an angle if its a triangle and is equal to the sum of the measures of its two remote interior angles?
Exterior angle.
Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?
exterior angle theorem
What do you call the 2 nonadjacent angles to an exterior angle of a triangle?
Remote interior angles.
Is an exterior angle of a triangle equal to the sum of two remote interior angles?
Yes, it is.
