Question

In ∆ABC and ∆XYZ. AB = XY, BC= YZ and angle B = angle Y. if angle A + angle B = 105, then find angle Z .​

Answer 1

Answer:

triangle ABC=triangle XYZ(by S.A.S rule)

A+B=105

A+B=XY= 105

X+Y+Z=180

Z=180-105=75

Answer 2

Step-by-step explanation:

In triangle ABC & In triangle XYZ

ab=xy

angle b=angle y

bc=yz

By SAS Congruence rule

triangle XYZ is congruent to triangle ABC

bc=yz

angle a=angle x

angle a+ angle b=105

angle x+ angle y=105

angle x+angle y+angle z=180 (angle sum property)

105+angle z=180

angle z=180-105

angle z=75