Question

In triangle XYZ, if XY=YZ and angle Y=100°, then angle Z is equal to

Answer 1

Answer:

40°

Step-by-step explanation:

xyz is a triangle,

y=100°

if XY=YZ

so, z= (180-100)/2

=40°

Answer 2

Step-by-step explanation:

if in ∆XYZ ,

XY=YZ

then it is an isosceles trianlge

i.e. angle X=angleY.......(1)

now ,

sum of all angles of triangle is supplementary(180°)

angleX+angleY+angleZ=180°

angleZ+100°+angleZ=180°.....(from(1)& given)

2angleZ=180-100

angleZ=80/2

angleZ=40°