Question

using information given in the adjacent figure,find the value of x and y​

Answer 1

$\huge\bold\green{Question}$

using information given in the adjacent figure,find the value of x and y

$\huge\bold\green{Answer}$

Side BC of △ABC has been produced to D.

Exterior ∠ACD=∠ABC+∠BAC

∴100 o

=65 o +x o

⇒x o =(100 o−65 o )=35 o

∴∠CAD=∠BAC=35 o

In △ACD, we have:

∠CAD+∠ACD+∠CDA=180 o

(Angle sum property of triangle)

⇒35 o+100 o +y o =180 o

⇒135 o+y o

=180 o

⇒y o =(180 o−135 o)=45 o

Hence, x=35 o ,y=45 o

.

Answer 2

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