Question

in ∆ XYZ the included angles between sides XY and YZ is​

Answer 1

Answer:

angle xyz is the correct answer

Answer 2

Answer:

In ∆XYZ, the included angle between sides XY and YZ is angle Y or angle XYZ

Step-by-step explanation:

• Triangle ∆XYZ is given. We have to find the included angle between its sides XY and YZ.

• In a triangle, three angles are there namely

$\angle \:x ,\: \angle \:y ,\: \angle \:z$

or we can also name them as

$\angle \: zxy \: ,\angle \: xyz \:,\angle \: xzy \:$

• Each of this angle is included between two sides of triangle.Now the naming of these angles are done accordingly that angle x correspond to the Vertex X, angle y correspond to the Vertex Y and angle z correspond to the Vertex Z. (Refer Image)

• Between the sides XY and YZ, the vertex Y is common. So the angle corresponding to Vertex Y will be included between the sides XY and YZ

Therefore the angle y is the included angle between sides XY and YZ.

So the included angle between XY and YZ is

$\angle \: y \: = \angle \: xyz = \:\angle \:zyx$