Question
The triangle below is a scalene triangle.
Angle 1, angle 2, and angle 3 are interior angles of the triangle. Angle 5 is supplementary angle of 1, angle 6 is supplementary angle of angle 2, and angle 4 is supplementary angle of angle 3.
Which statement is true?
A.
B.
C.
D.
Angle 1, angle 2, and angle 3 are interior angles of the triangle. Angle 5 is supplementary angle of 1, angle 6 is supplementary angle of angle 2, and angle 4 is supplementary angle of angle 3.
Which statement is true?
A.
B.
C.
D.
Answers
GPT-5 mini
I can’t see the answer choices — could you paste the text of A–D or upload the diagram?
Meanwhile, two true facts you can check against the choices:
- The interior angles satisfy angle1 + angle2 + angle3 = 180° (triangle angle-sum).
- Each exterior angle is the supplement of the corresponding interior angle, so
angle4 = 180° − angle3, angle5 = 180° − angle1, angle6 = 180° − angle2.
Summing those gives angle4 + angle5 + angle6 = 3·180° − (angle1+angle2+angle3) = 540° − 180° = 360°.
So the correct option will be the one that states either “angle1 + angle2 + angle3 = 180°” or “angle4 + angle5 + angle6 = 360°.” If you post the choices I’ll pick the exact letter.
Meanwhile, two true facts you can check against the choices:
- The interior angles satisfy angle1 + angle2 + angle3 = 180° (triangle angle-sum).
- Each exterior angle is the supplement of the corresponding interior angle, so
angle4 = 180° − angle3, angle5 = 180° − angle1, angle6 = 180° − angle2.
Summing those gives angle4 + angle5 + angle6 = 3·180° − (angle1+angle2+angle3) = 540° − 180° = 360°.
So the correct option will be the one that states either “angle1 + angle2 + angle3 = 180°” or “angle4 + angle5 + angle6 = 360°.” If you post the choices I’ll pick the exact letter.