Question

with proper explination guys fast​

Answer 1

Step-by-step explanation:

they are two triangles named triangle ABC and triangle XYZ

in the both the triangles angle a and angle x are acute

and cosA=cos=X

AB/BC=XY/YZ

by this two sides are proportional

angle B and angle Y are the angles between two proportional sides

so in ∆ABC and ∆XYZ

two pairs of sides are equal and one angle

so by SAS similarity those two triangles are similar

so angle A =angle X[CPCT]

Answer 2

Step-by-step explanation:

two triangle are right triangle

let right angles are angle B and angle Y

cosA =AB/AC

cosX=XY/XZ

cosA=cosX

AB/AC=XY/XZ

it implies

AB=XY

AC=XZ

angleB=angle Y=90°

triangle ABC is congruent to triangle XYZ

(by RHS criteria of congruence)

angle A = angle X (c.p.c.t)