Podcast
Questions and Answers
How is an exterior angle of a triangle formed?
How is an exterior angle of a triangle formed?
By extending one of the sides of the triangle.
Exterior Angle Theorem: The measure of each exterior angle of a triangle is equal to the _____ of the measures of the two _____ interior angles.
Exterior Angle Theorem: The measure of each exterior angle of a triangle is equal to the _____ of the measures of the two _____ interior angles.
sum, remote
Exterior Angle Inequality Theorem: If an angle is an exterior angle of a triangle, then its measure is _____ than the measure of either of its corresponding _____ interior angles.
Exterior Angle Inequality Theorem: If an angle is an exterior angle of a triangle, then its measure is _____ than the measure of either of its corresponding _____ interior angles.
greater, remote
Flashcards
Exterior Angle of a Triangle
Exterior Angle of a Triangle
An exterior angle is formed by extending one of the sides of the triangle. It's the angle between the extended side and the other side.
Exterior Angle Theorem
Exterior Angle Theorem
The measure of each exterior angle of a triangle is equal to the sum of the two remote interior angles.
Exterior Angle Inequality Theorem
Exterior Angle Inequality Theorem
If an angle is an exterior angle of a triangle, then its measure is greater than the measure of either of its corresponding remote interior angles.
Study Notes
Exterior Angle of a Triangle
- An exterior angle comes to be when one of the sides of the triangle is extended.
- The angle between the extension and the other side is the exterior angle.
Exterior Angle Theorem
- Each exterior angle of a triangle is equal to the sum of the two remote interior angles.
- m∠BCD = m∠ABC + m∠BAC
Exterior Angle Inequality Theorem
- The measure of an exterior angle of a triangle is greater than the measure of either of the corresponding remote interior angles.
- m∠BCD > m∠ABC
- m∠BCD > m∠BAC
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