Exterior Angle Flashcards
What is an exterior angle of a triangle?
An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side.
True or False: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
True
Fill in the blank: The measure of an exterior angle is ______ the sum of the measures of the two remote interior angles.
equal to
What is the relationship between an exterior angle and its adjacent interior angle?
The exterior angle is supplementary to its adjacent interior angle.
If one interior angle of a triangle is 30 degrees and another is 60 degrees, what is the measure of the corresponding exterior angle?
90 degrees
Multiple Choice: Which of the following statements is true about exterior angles of a triangle? A) They can be negative B) They are always greater than 180 degrees C) They are equal to the sum of the two opposite interior angles D) They are less than the sum of all angles in the triangle.
C) They are equal to the sum of the two opposite interior angles.
What is the sum of all exterior angles of a triangle?
360 degrees
True or False: Each exterior angle of a triangle can have a different measure.
True
Fill in the blank: The exterior angle theorem states that an exterior angle is equal to the sum of the two ______ angles.
remote interior
If a triangle has angles measuring 40 degrees, 70 degrees, and 70 degrees, what is the measure of the exterior angle adjacent to the 40-degree angle?
140 degrees
What is the formula to calculate the exterior angle of a triangle?
Exterior angle = Interior angle 1 + Interior angle 2
True or False: An exterior angle can be used to solve for unknown interior angles.
True
What happens to the measures of the exterior angles as the angles of the triangle change?
The measures of the exterior angles change correspondingly.
Multiple Choice: Which of the following is NOT true for exterior angles? A) They can be used in geometric proofs B) They can be measured in radians C) They are always acute D) They are related to interior angles.
C) They are always acute
Fill in the blank: The exterior angle at vertex A is formed by extending side BC, and is denoted as angle ______.
A’
If one exterior angle measures 120 degrees, what is the measure of the adjacent interior angle?
60 degrees
True or False: The exterior angle of a triangle can be larger than 180 degrees.
False
What is the significance of exterior angles in real-world applications?
They help in various fields such as architecture, engineering, and design.
Multiple Choice: Which of the following is a characteristic of exterior angles? A) They can only be formed by acute triangles B) They are always equal to 90 degrees C) They can be calculated using the interior angles D) They do not exist in obtuse triangles.
C) They can be calculated using the interior angles
Fill in the blank: The exterior angle of a triangle is always ______ than each of the interior angles.
greater
True or False: The exterior angle theorem applies to all types of triangles.
True
If a triangle has one interior angle measuring 100 degrees, what can you say about the exterior angle at that vertex?
It will be 80 degrees.
What is the relationship between the sum of the exterior angles and the polygon’s number of sides?
The sum of the exterior angles of any polygon is 360 degrees, regardless of the number of sides.
Fill in the blank: To find an exterior angle, you can subtract the interior angle from ______ degrees.
180
