Question

In the given figure, the value of x and y respectively is:

Answer 1

Answer:

In △TCE, we have

x=∠TCE+∠TEC (Exterior angle property)

⇒x=35

o

+31

o

⇒x=66

o

In △SBD , we have

∠AST=∠SBD+∠SDB

∠AST=30

o

+36

o

=66

o

In △ATS, we have

y+x+∠AST=180

o

(Angle sum property)

⇒y+66

o

+66

o

=180

o

⇒180

o

−(66

o

+66

o

)

⇒y=48

o

Answer 2

Answer:

65 degree

Step-by-step explanation:

Lets Name the triangle ABC

Let the line perpendicular of BC be AD

Let the intersection point be E

<DEC= 180-90+20

         = 180-110

        = 70 degree

therefore <AFE= 70 degree (vertically oppsite angles are equal)            

<x = 180-70+25

    = 180-95

   = 85 degree

<ADB=90 (Linear Pair)

therefore <y = 180- 25+90

                    = 180- 115

                    =65 degree

Hope you understood!

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