Question

find x and y inthe figure
chapter me triangle congruency. value of x and y

Answer 1

According to the figure,

BD = CD

So, angle CBD = Angle BCD [ Angles opposite to equal sides are equal ]

Angle CBD = 55 °

Angle B = 38 ° + 55 ° = 93 °

In triangle BAD,

Angle BAD + Angle B + Angle BDA = 180°

55° + 93 ° + y ° = 180 °

y ° = 180 ° - 148 °

y ° = 32 °

Similarly, in Triangle, BOD,

Angle DBC + x° + y ° = 180 °

55 ° + x° + 32 ° = 180 °

x ° = 180 ° - 87 °

x ° = 93 °

Answer 2

hey frnd....
in the given figure....
in ∆
<BOD = <ABO + <BAO ( sum of interior angles is equal to opposite outer angle)
x = 38+55
x = 93°

now in ∆ DBC
<DBC = <DCB
<DBC = 55°

now in ∆ DBO
<BDO + <DBO <DOB = 180°
y = 180- (55+93)
y = 180-148
y = 32°

so the value of
x = 93°
y = 32°

HOPE THIS HELP YOU ☺☺❤❤❤❤