Respuesta :
Answer:
Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step-by-step explanation:
The answer is self-explanatory. The sum of interior angles of a triangle is 180°.
Answer:
A.Step 1: [tex]m\angle x+ m\angle y+m\angle z=180^{\circ}[/tex]( Sum of angles of a triangle).
Step-by-step explanation:
We are given that a triangle ABC. The base of triangle extends into a straight line .The angle formed between this straight line and the edge of the triangle is marked as w.
Then we can say w is exterior angle.
The angle z is adjacent to the exterior angle w.
The other two angle of triangle are x and y are given .
Step 1:[tex]m\angle x+m\angle y+m\angle z=180^{\circ}[/tex]
Reason: Sum of angles of triangle.
Step2:[tex]m\angle w+m\angle z=180^{\circ}[/tex]
Reason: supplementary angles.
Step 3: Therefore, [tex]m\angle x+m\angle y+m\angle z=m\angle w+m\angle z[/tex].
Reason : Substitute two equations equal.
Step 4:So [tex]m\angle x+m\angle y=m\angle w[/tex]
Reason: Cancel both side [tex]m\angle z[/tex].
Hence proved.
Therefore, the student first make a mistake in first step
Correct step 1 : [tex]m\angle x+m\angle y+m\angle z=180^{\circ}[/tex]
Reason : Sum of angles of a triangle.