The triangle has interior angles x, y, and z, and exterior angle w. Angles x and w are supplementary angles.
Question
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
Move options to the blanks to complete the proof.
Response area with 8 blank spaces
Statement Reason
the measure of angle x plus the measure of angle w equals 180 degrees
Straight angles add to 180 degrees.
Blank space 16 empty
equals 180 degrees minus
Blank space 17 empty
Subtraction
the measure of angle x plus the measure of angle y plus the measure of angle z equals 180 degrees
The sum of the angle measures of a triangle equals 180 degrees.
Blank space 18 empty
plus
Blank space 19 empty
equals 180 degrees minus
Blank space 20 empty
Subtraction
Blank space 21 empty
plus
Blank space 22 empty
equals
Blank space 23 empty
Substitution
Bot GPT 3.5
answered
Blank space 17: 180
Blank space 18: x
Blank space 19: y
Blank space 20: 180
Blank space 21: x+y
Blank space 22: z
Blank space 23: 180
