Which statements about the angles of the triangle are true? Check all that apply.
A triangle has angles 6, 7, 8. Angle 7 has an exterior angle of 1. A diagonal line extends from angle 8 to form angle 2. Angle 6 has exterior angle 5. The line extends to form angles 3 and 4.
Angle 1 is an exterior angle.
Angle 2 is an exterior angle.
Angle 4 is an exterior angle.
Angle 7 is an adjacent interior angle.
Angle 6 is an adjacent interior angle. It is adjacent to the exterior angle 4.
Angles 6 and 8 are remote interior angles to the exterior angle 1.
Angles 6 and 7 are remote interior angles to the exterior angle 2.
Angles 7 and 8 are remote interior angles to the exterior angle 4.
(on edgenuity)
the sixth one is correct
on EDG its the first 3 options
mommy
To determine which statements about the angles of the triangle are true, let's analyze each statement one by one.
1. Angle 1 is an exterior angle: We can determine this by examining the given information. However, no information is provided about angle 1, so we do not know if it is an exterior angle. Therefore, we cannot confirm this statement is true.
2. Angle 2 is an exterior angle: It is stated that a diagonal line extends from angle 8 to form angle 2. Based on this information, we can conclude that angle 2 is formed by extending a line from angle 8, which makes it an exterior angle. So, this statement is true.
3. Angle 4 is an exterior angle: No information is provided regarding angle 4 being an exterior angle. Therefore, we cannot confirm this statement is true.
4. Angle 7 is an adjacent interior angle: It is stated that angle 7 has an exterior angle of 1. The term "adjacent interior angle" refers to an angle that is on the same side of the transversal as the given angle and is located inside the two parallel lines. Since the relationship between angle 7 and angle 1 is not clear, we cannot confirm if angle 7 is an adjacent interior angle, so this statement is uncertain.
5. Angle 6 is an adjacent interior angle. It is adjacent to exterior angle 4: It is stated that angle 6 has an exterior angle of 5, not 4. Therefore, this statement is not true.
6. Angles 6 and 8 are remote interior angles to exterior angle 1: Remote interior angles are the two angles inside a triangle that do not share a vertex with the exterior angle. Since angles 6 and 8 share a vertex with exterior angle 1, they cannot be considered remote interior angles. Hence, this statement is not true.
7. Angles 6 and 7 are remote interior angles to exterior angle 2: Similar to the previous statement, angles 6 and 7 share a vertex with exterior angle 2, so they cannot be considered remote interior angles. Therefore, this statement is not true.
8. Angles 7 and 8 are remote interior angles to exterior angle 4: Based on the information provided, no relationship is established between angles 7, 8, and exterior angle 4. Therefore, we cannot confirm if this statement is true.
In summary:
- Angle 2 is an exterior angle (True).
- The rest of the statements cannot be confirmed as true based on the given information.
hiiiiii
A diagonal line extends from angle 8 to ... where?
The line extends to form angles 3 and 4. ... what line?
very unclear.