Question

in the given figure AC=BC and angle ACY=140° find x and y​

Answer 1

Answer:

angle ACY=140°

angle ACB=a

140°+a=180°(linear pair)

a=40°

in triangle ABC,

AC=BC(if opposite sides are equal then opposite angles are equal)

angle ABC=angle BAC=z

angle ABC+angle BAC+angle ACB=180°(angle sum property)

z+z+40°=180°(angle sum property)

2z=140°

z=70°

angle BAC+y=180°(linear pair)

70°+y=180°

y=110°

angle ABC+x=180°

70°+x=180°

x=110°

therefore, x=y=110°

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Answer 2

Step-by-step explanation:

angle y+ angle x + 140 = 360 ( sum of exterior angel of a triangle is 360° )

angle x + angle y =360-140=220°

220/2=110°

So, x =y =110°

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