Question

Use congruency of triangles to find the values of x and y in each of the following figures:
I will mark brainlist answer if you will give correct answer...

Answer 1

c) In ∆ABE and ∆ DBC

AB= BC (given)

Angle A = Angle C (given)

AE = DC (given)

So, ∆ ABE congruent to ∆DBC [by SAS congruence Rule]

So, by CPCT,

Angle ABE = Angle DBC

Hence y°= 20°

d) x+10° = y+20° (opposite sides of a rectangle are equal)

i.e. AC = BD

Now, In ∆ ABD and ∆ACD

AB = CD (given)

Angle B = Angle C = 90° (given)

AC= BD (proved above)

So, ∆ABD congruent to ∆ACD (by SAS congruence Rule)

By CPCT,

Angle BAD = Angle CDA

i.e. x= 50°

HOPE IT HELPS.

Answer 2

Answer:

1. x=3 and y=20
2. x=50 and y=40